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example_5000_combination_1
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=20,color={black!10,black!20,black!30,black!40}]{46/Fluid\\Mechanics, 25/Solid\\Mechanics, 13/Other, 16/None} \end{tikzpicture} \end{document}
example_5000_main
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=20,color={black!10,black!20,black!30,black!40}]{46/Fluid\\Mechanics, 25/Solid\\Mechanics, 13/Other, 16/None} \end{tikzpicture} \end{document}
example_5001_combination_1
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=160, color={black!10,black!20,black!30,black!40}]{49/Multiplicative, 7/Space\\mapping, 32/Additive, 12/Comprehensive} \end{tikzpicture} \end{document}
example_5001_main
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=160, color={black!10,black!20,black!30,black!40}]{49/Multiplicative, 7/Space\\mapping, 32/Additive, 12/Comprehensive} \end{tikzpicture} \end{document}
example_5002_combination_1
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=30,color={black!10,black!20,black!30,black!40}]{31/Response\\Surface, 25/Kriging, 36/None, 8/Others} \end{tikzpicture} \end{document}
example_5002_main
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=30,color={black!10,black!20,black!30,black!40}]{31/Response\\Surface, 25/Kriging, 36/None, 8/Others} \end{tikzpicture} \end{document}
example_5003_combination_1
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=160, color={black!10,black!20,black!30,black!40}]{10/Multiplicative, 17/Calibration, 28/Additive, 45/Comprehensive} \end{tikzpicture} \end{document}
example_5003_main
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[scale=0.4] \pie[/tikz/every pin/.style={align=center},text=pin,explode=0.4,rotate=160, color={black!10,black!20,black!30,black!40}]{10/Multiplicative, 17/Calibration, 28/Additive, 45/Comprehensive} \end{tikzpicture} \end{document}
example_5004_combination_2
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[font=\small,scale=0.8] \begin{axis}[ ybar, bar width=10pt, xlabel={Year published}, ylabel={Deterministic Methods}, ymin=0, ytick=\empty, xtick=data, axis x line=bottom, axis y line=left, enlarge x limits=0.1, symbolic x coords={1992,1995,1997,1999,2002,2005,2007,2010,2012,2015}, xticklabel style={anchor=base,yshift=-\baselineskip, rotate=70}, nodes near coords={\pgfmathprintnumber\pgfplotspointmeta\%} ] \addplot[fill=white] coordinates { (1992,5) (1995,10) (1997,12) (1999,7) (2002,3) (2005,13) (2007,12) (2010,17) (2012,8) (2015,13) }; \end{axis} \end{tikzpicture} \end{document}
example_5004_combination_1
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[font=\small,scale=0.8] \begin{axis}[ ybar, bar width=10pt, xlabel={Year published}, ylabel={Deterministic Methods}, ymin=0, ytick=\empty, xtick=data, axis x line=bottom, axis y line=left, enlarge x limits=0.1, symbolic x coords={1992,1995,1997,1999,2002,2005,2007,2010,2012,2015}, xticklabel style={anchor=base,yshift=-\baselineskip, rotate=70}, nodes near coords={\pgfmathprintnumber\pgfplotspointmeta\%} ] \addplot[fill=white] coordinates { (1992,5) (1995,10) (1997,12) (1999,7) (2002,3) (2005,13) (2007,12) (2010,17) (2012,8) (2015,13) }; \end{axis} \end{tikzpicture} \end{document}
example_5004_main
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[font=\small,scale=0.8] \begin{axis}[ ybar, bar width=10pt, xlabel={Year published}, ylabel={Deterministic Methods}, ymin=0, ytick=\empty, xtick=data, axis x line=bottom, axis y line=left, enlarge x limits=0.1, symbolic x coords={1992,1995,1997,1999,2002,2005,2007,2010,2012,2015}, xticklabel style={anchor=base,yshift=-\baselineskip, rotate=70}, nodes near coords={\pgfmathprintnumber\pgfplotspointmeta\%} ] \addplot[fill=white] coordinates { (1992,5) (1995,10) (1997,12) (1999,7) (2002,3) (2005,13) (2007,12) (2010,17) (2012,8) (2015,13) }; \end{axis} \end{tikzpicture} \end{document}
example_5005_combination_2
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[font=\small,scale=0.8] \begin{axis}[ ybar, bar width=10pt, xlabel={Year published}, ylabel={Non-Deterministic Methods}, ymin=0, ytick=\empty, xtick=data, axis x line=bottom, axis y line=left, enlarge x limits=0.1, symbolic x coords={1983,1986,1990,1993,1997,2000,2004,2007,2011,2015}, xticklabel style={anchor=base,yshift=-\baselineskip, rotate=70}, nodes near coords={\pgfmathprintnumber\pgfplotspointmeta\%} ] \addplot[fill=white] coordinates { (1983,2) (1986,0) (1990,2) (1993,0) (1997,0) (2000,4) (2004,8) (2007,13) (2011,27) (2015,44) }; \end{axis} \end{tikzpicture} \end{document}
example_5005_combination_1
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[font=\small,scale=0.8] \begin{axis}[ ybar, bar width=10pt, xlabel={Year published}, ylabel={Non-Deterministic Methods}, ymin=0, ytick=\empty, xtick=data, axis x line=bottom, axis y line=left, enlarge x limits=0.1, symbolic x coords={1983,1986,1990,1993,1997,2000,2004,2007,2011,2015}, xticklabel style={anchor=base,yshift=-\baselineskip, rotate=70}, nodes near coords={\pgfmathprintnumber\pgfplotspointmeta\%} ] \addplot[fill=white] coordinates { (1983,2) (1986,0) (1990,2) (1993,0) (1997,0) (2000,4) (2004,8) (2007,13) (2011,27) (2015,44) }; \end{axis} \end{tikzpicture} \end{document}
example_5005_main
\documentclass{article} \usepackage{tikz} \usetikzlibrary{matrix, shapes, arrows,calc, positioning, decorations.pathreplacing, snakes} \usepackage{tikz} \usepackage{pgf-pie} \usepackage{amsmath,bm} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{color} \usepackage[T1]{fontenc} \usepackage{pgfplots} \pgfplotsset{ compat=newest, xlabel near ticks, ylabel near ticks } \begin{document} \begin{tikzpicture}[font=\small,scale=0.8] \begin{axis}[ ybar, bar width=10pt, xlabel={Year published}, ylabel={Non-Deterministic Methods}, ymin=0, ytick=\empty, xtick=data, axis x line=bottom, axis y line=left, enlarge x limits=0.1, symbolic x coords={1983,1986,1990,1993,1997,2000,2004,2007,2011,2015}, xticklabel style={anchor=base,yshift=-\baselineskip, rotate=70}, nodes near coords={\pgfmathprintnumber\pgfplotspointmeta\%} ] \addplot[fill=white] coordinates { (1983,2) (1986,0) (1990,2) (1993,0) (1997,0) (2000,4) (2004,8) (2007,13) (2011,27) (2015,44) }; \end{axis} \end{tikzpicture} \end{document}
example_5006_combination_11
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \end{tikzpicture} \end{document}
example_5006_combination_18
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \end{tikzpicture} \end{document}
example_5006_combination_24
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \end{tikzpicture} \end{document}
example_5006_combination_32
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \end{tikzpicture} \end{document}
example_5006_combination_6
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \end{tikzpicture} \end{document}
example_5006_combination_35
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \end{tikzpicture} \end{document}
example_5006_combination_47
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \draw (16) -- (13); \draw (11) --(12); \node (21) at (2.5, -1.5) {{\huge $\Rightarrow$}}; \node (22) at (-1, 2) {{\Large $G$}}; \node (23) at (9, 2) {{\Large $G^r$}}; \node (24) at (4,-5) {\footnotesize Construction of $G^r$}; \end{tikzpicture} \end{document}
example_5006_combination_8
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \end{tikzpicture} \end{document}
example_5006_combination_22
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \end{tikzpicture} \end{document}
example_5006_combination_19
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \end{tikzpicture} \end{document}
example_5006_combination_17
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \end{tikzpicture} \end{document}
example_5006_combination_41
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \end{tikzpicture} \end{document}
example_5006_combination_46
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \draw (16) -- (13); \draw (11) --(12); \node (21) at (2.5, -1.5) {{\huge $\Rightarrow$}}; \node (22) at (-1, 2) {{\Large $G$}}; \node (23) at (9, 2) {{\Large $G^r$}}; \end{tikzpicture} \end{document}
example_5006_combination_48
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \draw (16) -- (13); \draw (11) --(12); \node (21) at (2.5, -1.5) {{\huge $\Rightarrow$}}; \node (22) at (-1, 2) {{\Large $G$}}; \node (23) at (9, 2) {{\Large $G^r$}}; \node (24) at (4,-5) {\footnotesize Construction of $G^r$}; \end{tikzpicture} \end{document}
example_5006_combination_34
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \end{tikzpicture} \end{document}
example_5006_combination_33
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \end{tikzpicture} \end{document}
example_5006_combination_7
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \end{tikzpicture} \end{document}
example_5006_combination_45
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \draw (16) -- (13); \draw (11) --(12); \node (21) at (2.5, -1.5) {{\huge $\Rightarrow$}}; \node (22) at (-1, 2) {{\Large $G$}}; \end{tikzpicture} \end{document}
example_5006_combination_4
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \end{tikzpicture} \end{document}
example_5006_combination_37
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \end{tikzpicture} \end{document}
example_5006_combination_28
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \end{tikzpicture} \end{document}
example_5006_combination_14
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \end{tikzpicture} \end{document}
example_5006_combination_2
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \end{tikzpicture} \end{document}
example_5006_combination_36
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \end{tikzpicture} \end{document}
example_5006_combination_31
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \end{tikzpicture} \end{document}
example_5006_combination_5
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \end{tikzpicture} \end{document}
example_5006_combination_43
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \draw (16) -- (13); \draw (11) --(12); \end{tikzpicture} \end{document}
example_5006_combination_44
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \draw (16) -- (13); \draw (11) --(12); \node (21) at (2.5, -1.5) {{\huge $\Rightarrow$}}; \end{tikzpicture} \end{document}
example_5006_combination_29
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \end{tikzpicture} \end{document}
example_5006_combination_27
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \end{tikzpicture} \end{document}
example_5006_main
\documentclass{standalone} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing,angles,quotes} \begin{document} \begin{tikzpicture}[-,thick, xscale = 0.4, yscale=0.4] \node[circle,inner sep=2pt,fill](1) at (-2,1) {}; \node[circle,inner sep=2pt,fill](2) at (-2,-0.666) {}; \node[circle,inner sep=2pt,fill](3) at (-2,-2.333) {}; \node[circle,inner sep=2pt,fill](4) at (-2,-4) {}; \node[circle,inner sep=2pt,fill](5) at (0,1) {}; \node[circle,inner sep=2pt,fill](6) at (0,0) {}; \node[circle,inner sep=2pt,fill](7) at (0,-1) {}; \node[circle,inner sep=2pt,fill](8) at (0,-2) {}; \node[circle,inner sep=2pt,fill](9) at (0,-3) {}; \node[circle,inner sep=2pt,fill](10) at (0,-4) {}; \draw (1)--(5); \draw (1)--(6); \draw (1)--(7); \draw (2)--(6); \draw (2)--(8); \draw (3)--(7); \draw (3)--(8); \draw (3)--(9); \draw (3)--(10); \draw (4) -- (10); \node[circle,inner sep=2pt,fill](11) at (8,1) {}; \node[circle,inner sep=2pt,fill](12) at (8,-0.666) {}; \node[circle,inner sep=2pt,fill](13) at (8,-2.333) {}; \node[circle,inner sep=2pt,fill](14) at (8,-4) {}; \node[circle,inner sep=2pt,fill](15) at (10,1) {}; \node[circle,inner sep=2pt,fill](16) at (10,-3) {}; \node[circle,inner sep=2pt,fill](17) at (6,-1.5) {}; \node[circle,inner sep=2pt,fill](18) at (5,-0.666) {}; \node[circle,inner sep=2pt,fill](19) at (5,-2.333) {}; \node (20) at (5.25, -1.325) {{\small \bfseries $\vdots$}}; \draw[decoration={brace,mirror,raise=5pt},decorate] (5,-0.5) -- node[left=6pt] {$r$} (5,-2.5); \draw (18) -- (17); \draw (19) --(17); \draw (17) --(12); \draw (17) -- (11); \draw (15) -- (11); \draw (17) -- (13); \draw (11) to [bend left] (13); \draw (17) -- (14); \draw (13) -- (14); \draw (12) -- (13); \draw (16) -- (13); \draw (11) --(12); \node (21) at (2.5, -1.5) {{\huge $\Rightarrow$}}; \node (22) at (-1, 2) {{\Large $G$}}; \node (23) at (9, 2) {{\Large $G^r$}}; \node (24) at (4,-5) {\footnotesize Construction of $G^r$}; \end{tikzpicture} \end{document}
example_5007_main
\documentclass[preprint]{elsarticle} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage[utf8]{inputenc} \usetikzlibrary{arrows,shapes,snakes,automata,backgrounds,petri,calc,positioning} \begin{document} \begin{tikzpicture}[auto] \node[place,label=$s_1$,tokens=1] (s1) {}; \node[place,label=$r_1$,right= of s1] (r1) {}; \node[place,label=$s_2$,below= of s1,tokens=1] (s2) {}; \node[place,label=$r_2$,right= of s2] (r2) {}; \coordinate (mid) at ($(r1)!0.5!(r2)$); \node[place,label=$s_3$,right= 2cm of mid] (s3) {}; \node[transition] (t1) at ($(s1)!0.5!(r1)$) {$a$} edge [pre] node {} (s1) edge [post] node {} (r1); \node[transition] (t2) at ($(s2)!0.5!(r2)$) {$b$} edge [pre] node {} (s2) edge [post] node {} (r2); \node[transition,right= of mid] (t3) {$c$} edge [pre] node {} (r1) edge [pre] node {} (r2) edge [post] node {} (s3); \end{tikzpicture} \end{document}
example_5008_main
\documentclass[preprint]{elsarticle} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage[utf8]{inputenc} \usetikzlibrary{arrows,shapes,snakes,automata,backgrounds,petri,calc,positioning} \begin{document} \begin{tikzpicture}[auto] \node[place,label=$s_1$,tokens=1] (s1) {}; \node[place,label=$s_2$,tokens=1,right=1.5cm of s1] (s2) {}; \coordinate (mid) at ($(s1)!0.5!(s2)$); \node[transition] (t3) at (mid) {$b$} edge [pre,bend right=45] node {} (s1) edge [pre,bend left=45] node {} (s2) edge [post,bend right=45] node {} (s2) edge [post,bend left=45] node {} (s1); \node[below=1ex of t3] (l3) {$t_3$} ; \node[transition] (t1) [left of=s1] {$a$} edge [pre,bend left=45] node {} (s1) edge [post,bend right=45] node {} (s1); \node[below=1ex of t1] (l1) {$t_1$} ; \node[transition] (t2) [right of=s2] {$a$} edge [pre,bend right=45] node {} (s2) edge [post,bend left=45] node {} (s2); \node[below=1ex of t2] (l2) {$t_2$} ; \end{tikzpicture} \end{document}
example_5009_combination_17
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \node[right] at (0.95,0.3) {\footnotesize$\frac{2 \pi}{r}$}; \draw (0.95,0) arc (0:-15:1.5); \node[right] at (0.9,-0.3) {\footnotesize$\frac{2 \pi}{r}$}; \node[right] at (-3.7,-1) {\footnotesize$L_2$}; \node[right] at (-3.7,1) {\footnotesize$L_1$}; % % % % \end{tikzpicture} \end{document}
example_5009_combination_10
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \end{tikzpicture} \end{document}
example_5009_combination_9
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \end{tikzpicture} \end{document}
example_5009_combination_7
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \end{tikzpicture} \end{document}
example_5009_combination_11
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \end{tikzpicture} \end{document}
example_5009_combination_16
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \node[right] at (0.95,0.3) {\footnotesize$\frac{2 \pi}{r}$}; \draw (0.95,0) arc (0:-15:1.5); \node[right] at (0.9,-0.3) {\footnotesize$\frac{2 \pi}{r}$}; \node[right] at (-3.7,-1) {\footnotesize$L_2$}; \node[right] at (-3.7,1) {\footnotesize$L_1$}; \end{tikzpicture} \end{document}
example_5009_combination_6
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \end{tikzpicture} \end{document}
example_5009_combination_1
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \end{tikzpicture} \end{document}
example_5009_combination_8
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \end{tikzpicture} \end{document}
example_5009_combination_2
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \end{tikzpicture} \end{document}
example_5009_combination_5
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \end{tikzpicture} \end{document}
example_5009_combination_15
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \node[right] at (0.95,0.3) {\footnotesize$\frac{2 \pi}{r}$}; \draw (0.95,0) arc (0:-15:1.5); \node[right] at (0.9,-0.3) {\footnotesize$\frac{2 \pi}{r}$}; \node[right] at (-3.7,-1) {\footnotesize$L_2$}; \end{tikzpicture} \end{document}
example_5009_combination_12
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \node[right] at (0.95,0.3) {\footnotesize$\frac{2 \pi}{r}$}; \end{tikzpicture} \end{document}
example_5009_combination_4
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \end{tikzpicture} \end{document}
example_5009_combination_3
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \end{tikzpicture} \end{document}
example_5009_combination_13
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \node[right] at (0.95,0.3) {\footnotesize$\frac{2 \pi}{r}$}; \draw (0.95,0) arc (0:-15:1.5); \end{tikzpicture} \end{document}
example_5009_combination_14
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \node[right] at (0.95,0.3) {\footnotesize$\frac{2 \pi}{r}$}; \draw (0.95,0) arc (0:-15:1.5); \node[right] at (0.9,-0.3) {\footnotesize$\frac{2 \pi}{r}$}; \end{tikzpicture} \end{document}
example_5009_main
\documentclass[12pt,twoside,reqno]{amsart} \usepackage{tikz} \usetikzlibrary{calc,decorations.markings,decorations.pathmorphing,fadings,shadings} \usepackage{amssymb} \usepackage{amsmath} \usepackage[ansinew]{inputenc} \begin{document} \begin{tikzpicture} % Axis \draw[thick] (-3,1)--(3,1); \shade[top color=white,bottom color=gray] (-3,1) rectangle +(6,2); \draw[thick] (-3,-1)--(3,-1); \shade[top color=gray,bottom color=white] (-3,-1) rectangle +(6,-2); \draw[<->,dotted] (-3,0)--(3,0) node[below] {$x$}; % x axis \draw[<->,dotted] (0,-3)--(0,3) node[left] {$y$}; % y axis \draw (0,0) circle (2.5cm); \node[below] at (2,0) {$V_1$}; \node[below] at (-2,0) {$V_2$}; \node[below] at (1.5,-2) {$\Gamma$}; \draw (2.86,1.25) -- (-2.86,-1.25); \draw (-2.86,1.25) -- (2.86,-1.25); \draw (1,0) arc (0:15:1.5); \node[right] at (0.95,0.3) {\footnotesize$\frac{2 \pi}{r}$}; \draw (0.95,0) arc (0:-15:1.5); \node[right] at (0.9,-0.3) {\footnotesize$\frac{2 \pi}{r}$}; \node[right] at (-3.7,-1) {\footnotesize$L_2$}; \node[right] at (-3.7,1) {\footnotesize$L_1$}; % % % % \end{tikzpicture} \end{document}
example_5010_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \newcommand{\spstate}{\psi} \begin{document} \begin{tikzpicture}[on grid, node distance=1cm and 1.5cm] \tikzstyle{vertex} = [smallstate] \path node [vertex,accepting] (q1) {$q_1$}; \path node [vertex,accepting] (q2) [right = 1.5cm of q1] {$q_2$}; \path node [vertex] (q4) [below right= 1.3 and 1cm of q2] {$q_4$}; \path node [vertex] (q3) [below left = 2 and 1cm of q1] {$q_3$}; \path node [vertex] (q5) [below right = 1 and 1cm of q4] {$q5$}; \path node [vertex,initial] (f) [below right = 3 and 1cm of q1] {$\spstate$}; \draw [-triangle 45] (q1.south) node (tipq1) {}; \draw [-triangle 45] (q2.south) node (tipq2) {}; \path (tipq1.south) edge node {} (q3) (tipq1.south) edge node {} (q4) (tipq2.south) edge node {} (q3) (tipq2.south) edge node {} (q4); \path[->] (q3) edge [dashed] node [above left] {$c$} (q4) (q5) edge node [above right] {$c$} (q4) (f) edge node [above left] {$d$} (q5) (f) edge node [above right] {$e$} (q3); \path (q1) -- node [below right = 0.5 and 0.5cm] {$b$} (q2) (q1) -- node [below left = 0.5 and 0.5cm] {$a$} (q2); \end{tikzpicture} \end{document}
example_5011_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \newcommand{\spstate}{\psi} \begin{document} \begin{tikzpicture}[on grid, node distance=1cm and 1.5cm] \tikzstyle{vertex} = [smallstate] \path node [vertex,initial] (q1) {$q_1$}; \path node [vertex,initial] (q2) [right = 1.5cm of q1] {$q_2$}; \path node [vertex] (q4) [below right= 1.3 and 1cm of q2] {$q_4$}; \path node [vertex] (q3) [below left = 2 and 1cm of q1] {$q_3$}; \path node [vertex] (q5) [below right = 1 and 1cm of q4] {$q5$}; \path node [vertex,accepting] (f) [below right = 3 and 1cm of q1] {$\spstate$}; \path[->] (q1.south) edge node {} (q3) (q1.south) edge node {} (q4) (q2.south) edge node {} (q3) (q2.south) edge node {} (q4) (q4) edge [dashed] node [above left] {$c$} (q3) (q4) edge node [above right] {$c$} (q5) (q5) edge node [above left] {$d$} (f) (q3) edge node [above right] {$e$} (f); \path (q1) -- node [below right = 0.4 and 0.5cm] {$b$} (q2) (q1) -- node [below left = 0.4 and 0.5cm] {$a$} (q2); \end{tikzpicture} \end{document}
example_5012_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \begin{document} \begin{tikzpicture}[on grid, node distance= .6cm and 1cm] \tikzstyle{vertex} = [smallstate] \path node [vertex, initial] (i) {}; \path node [vertex,accepting] (p) [above right = of i] {}; \path node [vertex] (q) [below right = of i] {}; \path node [vertex,accepting] (r) [right = of q] {}; \path[->] (i) edge node [above left] {$a$} (p) (i) edge node [above right] {$a$} (q) (q) edge node [above left] {$a$} (r); \end{tikzpicture} \end{document}
example_5013_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \begin{document} \begin{tikzpicture}[on grid, node distance= .6cm and 1.4cm] \tikzstyle{vertex} = [smallstate] \path node [vertex, initial] (i) {}; \path node [vertex,accepting] (p) [right = of i] {}; \path node [vertex,accepting] (q) [right = of p] {}; \path[->] (i) edge node [above left] {$a$} (p) (p) edge node [above left] {$a$} (q); \begin{pgfonlayer}{background} \end{pgfonlayer} \end{tikzpicture} \end{document}
example_5014_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \newcommand{\spstate}{\psi} \begin{document} \begin{tikzpicture}[on grid] \tikzstyle{vertex} = [smallstate] \path node [vertex,initial] (i) {}; \path node [vertex] (q) [below left = 1.5cm and 0.75cm of i] {$q$}; \path node [vertex] (p) [left = 1.5cm of q] {$p$}; \path node [vertex] (r) [below right = 1.5cm and 0.75cm of i] {$r$}; \path node [vertex] (s) [right = 1.5cm of r] {$s$}; \path node [vertex,accepting] (f) [below = 2.75cm of i] {$\spstate$}; \path[->] (i.south west) edge node [right = 0.2cm] {$c$} (p) (i.south west) edge node {} (q.north) (i.south) edge node [right = 0.1cm] {$c$} (q.north east) (i.south) edge node [] {} (r.north west) (i.south east) edge node [right] {$c$} (r.north) (i.south east) edge node {} (s) (p) edge node {} (f) (q) edge node {} (f) (r) edge node {} (f) (s) edge node {} (f) ; \path (p) -- node [below right = 0.2 and 0.1cm] {$a$} (q) (q) -- node [below left = 0.2 and 0.1cm] {$a$} (r) (r) -- node [below left = 0.2 and 0.5cm] {$b$} (s) (r) -- node [below right = 0.2 and 0.2cm] {$b$} (s) ; \end{tikzpicture} \end{document}
example_5015_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \newcommand{\spstate}{\psi} \begin{document} \begin{tikzpicture}[on grid] \tikzstyle{vertex} = [smallstate] \path node [vertex,initial] (i) {}; \path node [vertex] (qr) [below = 1.5cm of i] {$\{q,r\}$}; \path node [vertex] (p) [left = 1.5cm of qr] {$\{p\}$}; \path node [vertex] (s) [right = 1.5cm of qr] {$\{s\}$}; \path node [vertex,accepting] (f) [below = 3.cm of i] {$\{\spstate\}$}; \path[->] (i.south west) edge node [right = 0.1cm] {$c$} (p) (i.south west) edge node {} (qr.north west) (i.south) edge node [right] {$c$} (qr.north west) (i.south) edge node [] {} (qr.north east) (i.south east) edge node [right] {$c$} (qr.north east) (i.south east) edge node {} (s) (p) edge node {} (f) (qr) edge node {} (f) (s) edge node {} (f) ; \path (p) -- node [below right = 0.4 and 0.cm] {$a$} (qr) (qr) -- node [below left = 0.4 and 0.1cm] {$a,b$} (s) (qr) -- node [below right = 0.4 and 0.1cm] {$b$} (s) ; \end{tikzpicture} \end{document}
example_5016_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \begin{document} \begin{tikzpicture}[on grid, node distance=1.5cm and 1cm] \tikzstyle{vertex} = [smallstate] \path node [vertex] (a1) {}; \path node [vertex] (a2) [below left = of a1] {}; \path node [vertex] (a3) [below right = of a1] {}; \path node [vertex,accepting] (apsi) [below right = of a2] {$\psi$}; \path[->] (a1) edge node [left] {$d$} (a2) (a1) edge node [right] {$d$} (a3) (a2) edge node [left] {$b$} (apsi) (a3) edge node [right] {$c$} (apsi); \path node (label) [left = of a2] {\textbf{$T_2$:}}; \end{tikzpicture} \end{document}
example_5017_main
\documentclass[a4paper]{llncs} \usepackage{xcolor} \usepackage{colortbl} \usepackage{color} \usepackage{amsmath} \usepackage{amssymb} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{ shapes,% decorations,% decorations.pathmorphing,% decorations.text,% decorations.pathreplacing,% automata,% arrows,% chains,% matrix,% scopes,% shadows,% positioning,% patterns,% fit,% calc,% through,% fadings,% backgrounds} \tikzset{ smallstate/.style={state, % The shape: circle, % The size: minimum size=4mm, % The border: %very thick, %draw=blue!30!black!70, % The filling: %top color=blue!30!white!30, %bottom color=blue!50!black!50, % Font font=\itshape }, initial text=, >=stealth', >/.style={ultra thick} } \begin{document} \begin{tikzpicture}[on grid, node distance=1.5cm and 1cm] \tikzstyle{vertex} = [smallstate] \path node [vertex] (a1) {}; \path node [vertex] (a2) [below = of a1] {}; \path node [vertex,accepting] (apsi) [below = of a2] {$\psi$}; \path[->] (a1) edge node [right] {$d$} (a2) (a2) edge node [right] {$b,c$} (apsi); \path node (label) [left = of a2] {\textbf{$T_1$:}}; \end{tikzpicture} \end{document}
example_5018_combination_1
\documentclass[11pt]{article} \usepackage{amsmath} \usepackage{tikz} \usepackage{pgfplots} \usetikzlibrary{decorations.pathmorphing} \begin{document} \begin{tikzpicture}[baseline,every node/.style={anchor=base}] \draw[decorate,decoration={snake, segment length=0.7mm, amplitude=0.1mm}] (0,-0.03) -- (0,0.23); \end{tikzpicture} \end{document}
example_5018_main
\documentclass[11pt]{article} \usepackage{amsmath} \usepackage{tikz} \usepackage{pgfplots} \usetikzlibrary{decorations.pathmorphing} \begin{document} \begin{tikzpicture}[baseline,every node/.style={anchor=base}] \draw[decorate,decoration={snake, segment length=0.7mm, amplitude=0.1mm}] (0,-0.03) -- (0,0.23); \end{tikzpicture} \end{document}
example_5019_combination_23
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \end{tikzpicture} \end{document}
example_5019_combination_24
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \end{tikzpicture} \end{document}
example_5019_combination_18
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \end{tikzpicture} \end{document}
example_5019_combination_16
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \end{tikzpicture} \end{document}
example_5019_combination_5
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \end{tikzpicture} \end{document}
example_5019_combination_40
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \node [below] at (3,0) {$3$}; \node [below] at (4,0) {$4$}; \node [below] at (5,0) {$5$}; \node [below] at (6,0) {$6$}; \node [below] at (7,0) {$7$}; \node [below] at (8,0) {$8$}; \node [below] at (9,0) {$9$}; \node [left] at (0,1) {$1$}; \node [left] at (0,2) {$2$}; \node [left] at (0,3) {$3$}; \end{tikzpicture} \end{document}
example_5019_combination_19
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); \end{tikzpicture} \end{document}
example_5019_combination_25
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); \end{tikzpicture} \end{document}
example_5019_combination_22
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \end{tikzpicture} \end{document}
example_5019_combination_33
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \node [below] at (3,0) {$3$}; \node [below] at (4,0) {$4$}; \node [below] at (5,0) {$5$}; \end{tikzpicture} \end{document}
example_5019_combination_34
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \node [below] at (3,0) {$3$}; \node [below] at (4,0) {$4$}; \node [below] at (5,0) {$5$}; \node [below] at (6,0) {$6$}; \end{tikzpicture} \end{document}
example_5019_combination_46
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \node [below] at (3,0) {$3$}; \node [below] at (4,0) {$4$}; \node [below] at (5,0) {$5$}; \node [below] at (6,0) {$6$}; \node [below] at (7,0) {$7$}; \node [below] at (8,0) {$8$}; \node [below] at (9,0) {$9$}; \node [left] at (0,1) {$1$}; \node [left] at (0,2) {$2$}; \node [left] at (0,3) {$3$}; \node [left] at (0,4) {$4$}; \node [left] at (0,5) {$5$}; \node [left] at (0,6) {$6$}; \node [left] at (0,7) {$7$}; \node [left] at (0,8) {$8$}; \node [left] at (0,9) {$9$}; \end{tikzpicture} \end{document}
example_5019_combination_41
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \node [below] at (3,0) {$3$}; \node [below] at (4,0) {$4$}; \node [below] at (5,0) {$5$}; \node [below] at (6,0) {$6$}; \node [below] at (7,0) {$7$}; \node [below] at (8,0) {$8$}; \node [below] at (9,0) {$9$}; \node [left] at (0,1) {$1$}; \node [left] at (0,2) {$2$}; \node [left] at (0,3) {$3$}; \node [left] at (0,4) {$4$}; \end{tikzpicture} \end{document}
example_5019_combination_4
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \end{tikzpicture} \end{document}
example_5019_combination_3
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \end{tikzpicture} \end{document}
example_5019_combination_37
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \node [below] at (3,0) {$3$}; \node [below] at (4,0) {$4$}; \node [below] at (5,0) {$5$}; \node [below] at (6,0) {$6$}; \node [below] at (7,0) {$7$}; \node [below] at (8,0) {$8$}; \node [below] at (9,0) {$9$}; \end{tikzpicture} \end{document}
example_5019_combination_30
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \end{tikzpicture} \end{document}
example_5019_combination_39
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \draw [dashed] (0,1) -- (8,1); \node [below] at (0,0) {$0$}; \node [below] at (1,0) {$1$}; \node [below] at (2,0) {$2$}; \node [below] at (3,0) {$3$}; \node [below] at (4,0) {$4$}; \node [below] at (5,0) {$5$}; \node [below] at (6,0) {$6$}; \node [below] at (7,0) {$7$}; \node [below] at (8,0) {$8$}; \node [below] at (9,0) {$9$}; \node [left] at (0,1) {$1$}; \node [left] at (0,2) {$2$}; \end{tikzpicture} \end{document}
example_5019_combination_9
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \end{tikzpicture} \end{document}
example_5019_combination_7
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \end{tikzpicture} \end{document}
example_5019_combination_13
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \end{tikzpicture} \end{document}
example_5019_combination_21
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \end{tikzpicture} \end{document}
example_5019_combination_26
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \draw [fill] (6,6) circle (0.1); \draw [fill] (7,8) circle (0.1); \draw [fill,red] (8,1) circle (0.15); \draw [fill] (9,3) circle (0.1); \draw [dashed] (1,0) -- (1,7); \draw [dashed] (2,0) -- (2,9); \draw [dashed] (3,0) -- (3,4); \draw [dashed] (4,0) -- (4,5); \draw [dashed] (5,0) -- (5,2); \draw [dashed] (6,0) -- (6,6); \draw [dashed] (7,0) -- (7,8); \draw [dashed] (8,0) -- (8,1); \draw [dashed] (9,0) -- (9,3); % \draw [dashed] (0,8) -- (7,8); \draw [dashed] (0,7) -- (1,7); \draw [dashed] (0,6) -- (6,6); \draw [dashed] (0,4) -- (3,4); \draw [dashed] (0,3) -- (9,3); \draw [dashed] (0,5) -- (4,5); % \draw [dashed] (0,2) -- (5,2); \end{tikzpicture} \end{document}
example_5019_combination_6
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \draw [fill,red] (1,7) circle (0.15); \draw [fill] (2,9) circle (0.1); \draw [fill,red] (3,4) circle (0.15); \draw [fill] (4,5) circle (0.1); \draw [fill,red] (5,2) circle (0.15); \end{tikzpicture} \end{document}
example_5019_combination_1
\documentclass[11pt]{article} \usepackage{amssymb} \usepackage{amsmath} \usepackage{tikz} \usetikzlibrary{decorations.pathreplacing} \usetikzlibrary{patterns} \begin{document} \begin{tikzpicture}[scale=0.5] \draw (0,0) rectangle (9,9); \end{tikzpicture} \end{document}
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