Generating adjacency matrices from isomorphic graphs












2















Here are some isomorphic graphs and their corresponding adjacency matrices. I can draw the graphs with tikz. But I'm not sure the best way to draw the matrices. Is it possible to generate one from the other? What's the right way to approach it?



enter image description here



Here's an example of the code to generate a graph:



 documentclass{standalone}
usepackage{tikz}
begin{document}
begin{tikzpicture}
tikzset{Bullet/.style={circle,draw,fill=black,scale=0.75}}
node[Bullet,label=left :{$e_1$}] (E1) at (0,2) {} ;
node[Bullet,label=above:{$e_2$}] (E2) at (1,3) {} ;
node[Bullet,label=right:{$e_3$}] (E3) at (2,2) {} ;
node[Bullet,label=right:{$e_4$}] (E4) at (2,0) {} ;
node[Bullet,label=left :{$e_5$}] (E5) at (0,0) {} ;
draw[thick] (E1)--(E2)--(E3)--(E4)--(E5)--(E1) {} ;
end{tikzpicture}
end{document}









share|improve this question

























  • Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?

    – marmot
    2 hours ago











  • @marmot Probably, normally. Actually I don't think so. I mean.. Either way is probably good. But I have some graphs drawn up, and I want to draw the matrices to suit them. If I can't figure it out programmatically, I'll just draw them up separately. Either with LaTeX somehow or with Adobe Illustrator, or some spreadsheet/word processor. LaTeX would be nice though.

    – tjt263
    1 hour ago
















2















Here are some isomorphic graphs and their corresponding adjacency matrices. I can draw the graphs with tikz. But I'm not sure the best way to draw the matrices. Is it possible to generate one from the other? What's the right way to approach it?



enter image description here



Here's an example of the code to generate a graph:



 documentclass{standalone}
usepackage{tikz}
begin{document}
begin{tikzpicture}
tikzset{Bullet/.style={circle,draw,fill=black,scale=0.75}}
node[Bullet,label=left :{$e_1$}] (E1) at (0,2) {} ;
node[Bullet,label=above:{$e_2$}] (E2) at (1,3) {} ;
node[Bullet,label=right:{$e_3$}] (E3) at (2,2) {} ;
node[Bullet,label=right:{$e_4$}] (E4) at (2,0) {} ;
node[Bullet,label=left :{$e_5$}] (E5) at (0,0) {} ;
draw[thick] (E1)--(E2)--(E3)--(E4)--(E5)--(E1) {} ;
end{tikzpicture}
end{document}









share|improve this question

























  • Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?

    – marmot
    2 hours ago











  • @marmot Probably, normally. Actually I don't think so. I mean.. Either way is probably good. But I have some graphs drawn up, and I want to draw the matrices to suit them. If I can't figure it out programmatically, I'll just draw them up separately. Either with LaTeX somehow or with Adobe Illustrator, or some spreadsheet/word processor. LaTeX would be nice though.

    – tjt263
    1 hour ago














2












2








2








Here are some isomorphic graphs and their corresponding adjacency matrices. I can draw the graphs with tikz. But I'm not sure the best way to draw the matrices. Is it possible to generate one from the other? What's the right way to approach it?



enter image description here



Here's an example of the code to generate a graph:



 documentclass{standalone}
usepackage{tikz}
begin{document}
begin{tikzpicture}
tikzset{Bullet/.style={circle,draw,fill=black,scale=0.75}}
node[Bullet,label=left :{$e_1$}] (E1) at (0,2) {} ;
node[Bullet,label=above:{$e_2$}] (E2) at (1,3) {} ;
node[Bullet,label=right:{$e_3$}] (E3) at (2,2) {} ;
node[Bullet,label=right:{$e_4$}] (E4) at (2,0) {} ;
node[Bullet,label=left :{$e_5$}] (E5) at (0,0) {} ;
draw[thick] (E1)--(E2)--(E3)--(E4)--(E5)--(E1) {} ;
end{tikzpicture}
end{document}









share|improve this question
















Here are some isomorphic graphs and their corresponding adjacency matrices. I can draw the graphs with tikz. But I'm not sure the best way to draw the matrices. Is it possible to generate one from the other? What's the right way to approach it?



enter image description here



Here's an example of the code to generate a graph:



 documentclass{standalone}
usepackage{tikz}
begin{document}
begin{tikzpicture}
tikzset{Bullet/.style={circle,draw,fill=black,scale=0.75}}
node[Bullet,label=left :{$e_1$}] (E1) at (0,2) {} ;
node[Bullet,label=above:{$e_2$}] (E2) at (1,3) {} ;
node[Bullet,label=right:{$e_3$}] (E3) at (2,2) {} ;
node[Bullet,label=right:{$e_4$}] (E4) at (2,0) {} ;
node[Bullet,label=left :{$e_5$}] (E5) at (0,0) {} ;
draw[thick] (E1)--(E2)--(E3)--(E4)--(E5)--(E1) {} ;
end{tikzpicture}
end{document}






diagrams matrices graphs tikz-pic






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 3 hours ago







tjt263

















asked 3 hours ago









tjt263tjt263

1826




1826













  • Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?

    – marmot
    2 hours ago











  • @marmot Probably, normally. Actually I don't think so. I mean.. Either way is probably good. But I have some graphs drawn up, and I want to draw the matrices to suit them. If I can't figure it out programmatically, I'll just draw them up separately. Either with LaTeX somehow or with Adobe Illustrator, or some spreadsheet/word processor. LaTeX would be nice though.

    – tjt263
    1 hour ago



















  • Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?

    – marmot
    2 hours ago











  • @marmot Probably, normally. Actually I don't think so. I mean.. Either way is probably good. But I have some graphs drawn up, and I want to draw the matrices to suit them. If I can't figure it out programmatically, I'll just draw them up separately. Either with LaTeX somehow or with Adobe Illustrator, or some spreadsheet/word processor. LaTeX would be nice though.

    – tjt263
    1 hour ago

















Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?

– marmot
2 hours ago





Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?

– marmot
2 hours ago













@marmot Probably, normally. Actually I don't think so. I mean.. Either way is probably good. But I have some graphs drawn up, and I want to draw the matrices to suit them. If I can't figure it out programmatically, I'll just draw them up separately. Either with LaTeX somehow or with Adobe Illustrator, or some spreadsheet/word processor. LaTeX would be nice though.

– tjt263
1 hour ago





@marmot Probably, normally. Actually I don't think so. I mean.. Either way is probably good. But I have some graphs drawn up, and I want to draw the matrices to suit them. If I can't figure it out programmatically, I'll just draw them up separately. Either with LaTeX somehow or with Adobe Illustrator, or some spreadsheet/word processor. LaTeX would be nice though.

– tjt263
1 hour ago










1 Answer
1






active

oldest

votes


















3














This is in case you change your mind and use the adjacency matrices to draw the graphs. TikZ allows you to define arrays, see p. 999 of the pgfmanual. And these arrays can be converted to tables using this nice answer. And these matrices/arrays can also be used to define the graphs.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{etoolbox}
usetikzlibrary{matrix,positioning}
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begin{document}
begin{tikzpicture}[Bullet/.style={circle,draw,fill=black,inner sep=1.5pt},
adjacency matrix/.style={ampersand replacement=&,matrix of math nodes,
row 1/.append style={nodes={font=boldmath}},
column 1/.append style={nodes={font=boldmath}},nodes in empty cells,
nodes={draw,minimum width=1.5em,text height=1.8ex},column sep=-pgflinewidth,row
sep=-pgflinewidth}]
% first matrix
defadjancymatrix{%
{{0,0,1,1,0},%
{0,0,0,1,1},%
{1,0,0,0,1},%
{1,1,0,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=left]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (leftmat) [below=of left,adjacency matrix]{
mymatrixcontent
};
%
% second matrix
defadjancymatrix{%
{{0,1,0,0,1},%
{1,0,1,0,0},%
{0,1,0,1,0},%
{0,0,1,0,1},%
{1,0,0,1,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=middle,xshift=5cm]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (midmat) [below=of middle,adjacency matrix]{
mymatrixcontent
};
% third matrix
defadjancymatrix{%
{{0,1,0,1,0},%
{1,0,0,0,1},%
{0,0,0,1,1},%
{1,0,1,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=right,xshift=10cm]
foreach X in {1,...,3}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
node[Bullet,label=90+72-4*72:{$e_5$}] (E5) at (90+72-4*72:2) {} ;
node[Bullet,label=90+72-5*72:{$e_4$}] (E4) at (90+72-5*72:2) {} ;
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (rightmat) [below=of right,adjacency matrix]{
mymatrixcontent
};

end{tikzpicture}
end{document}


enter image description here






share|improve this answer


























  • Not bad, can we get the matrix lines drawn in or is it just like that

    – tjt263
    19 mins ago











  • @tjt263 Yes, sure.

    – marmot
    11 mins ago











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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









3














This is in case you change your mind and use the adjacency matrices to draw the graphs. TikZ allows you to define arrays, see p. 999 of the pgfmanual. And these arrays can be converted to tables using this nice answer. And these matrices/arrays can also be used to define the graphs.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{etoolbox}
usetikzlibrary{matrix,positioning}
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begin{document}
begin{tikzpicture}[Bullet/.style={circle,draw,fill=black,inner sep=1.5pt},
adjacency matrix/.style={ampersand replacement=&,matrix of math nodes,
row 1/.append style={nodes={font=boldmath}},
column 1/.append style={nodes={font=boldmath}},nodes in empty cells,
nodes={draw,minimum width=1.5em,text height=1.8ex},column sep=-pgflinewidth,row
sep=-pgflinewidth}]
% first matrix
defadjancymatrix{%
{{0,0,1,1,0},%
{0,0,0,1,1},%
{1,0,0,0,1},%
{1,1,0,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=left]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (leftmat) [below=of left,adjacency matrix]{
mymatrixcontent
};
%
% second matrix
defadjancymatrix{%
{{0,1,0,0,1},%
{1,0,1,0,0},%
{0,1,0,1,0},%
{0,0,1,0,1},%
{1,0,0,1,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=middle,xshift=5cm]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (midmat) [below=of middle,adjacency matrix]{
mymatrixcontent
};
% third matrix
defadjancymatrix{%
{{0,1,0,1,0},%
{1,0,0,0,1},%
{0,0,0,1,1},%
{1,0,1,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=right,xshift=10cm]
foreach X in {1,...,3}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
node[Bullet,label=90+72-4*72:{$e_5$}] (E5) at (90+72-4*72:2) {} ;
node[Bullet,label=90+72-5*72:{$e_4$}] (E4) at (90+72-5*72:2) {} ;
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (rightmat) [below=of right,adjacency matrix]{
mymatrixcontent
};

end{tikzpicture}
end{document}


enter image description here






share|improve this answer


























  • Not bad, can we get the matrix lines drawn in or is it just like that

    – tjt263
    19 mins ago











  • @tjt263 Yes, sure.

    – marmot
    11 mins ago
















3














This is in case you change your mind and use the adjacency matrices to draw the graphs. TikZ allows you to define arrays, see p. 999 of the pgfmanual. And these arrays can be converted to tables using this nice answer. And these matrices/arrays can also be used to define the graphs.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{etoolbox}
usetikzlibrary{matrix,positioning}
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begin{document}
begin{tikzpicture}[Bullet/.style={circle,draw,fill=black,inner sep=1.5pt},
adjacency matrix/.style={ampersand replacement=&,matrix of math nodes,
row 1/.append style={nodes={font=boldmath}},
column 1/.append style={nodes={font=boldmath}},nodes in empty cells,
nodes={draw,minimum width=1.5em,text height=1.8ex},column sep=-pgflinewidth,row
sep=-pgflinewidth}]
% first matrix
defadjancymatrix{%
{{0,0,1,1,0},%
{0,0,0,1,1},%
{1,0,0,0,1},%
{1,1,0,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=left]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (leftmat) [below=of left,adjacency matrix]{
mymatrixcontent
};
%
% second matrix
defadjancymatrix{%
{{0,1,0,0,1},%
{1,0,1,0,0},%
{0,1,0,1,0},%
{0,0,1,0,1},%
{1,0,0,1,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=middle,xshift=5cm]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (midmat) [below=of middle,adjacency matrix]{
mymatrixcontent
};
% third matrix
defadjancymatrix{%
{{0,1,0,1,0},%
{1,0,0,0,1},%
{0,0,0,1,1},%
{1,0,1,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=right,xshift=10cm]
foreach X in {1,...,3}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
node[Bullet,label=90+72-4*72:{$e_5$}] (E5) at (90+72-4*72:2) {} ;
node[Bullet,label=90+72-5*72:{$e_4$}] (E4) at (90+72-5*72:2) {} ;
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (rightmat) [below=of right,adjacency matrix]{
mymatrixcontent
};

end{tikzpicture}
end{document}


enter image description here






share|improve this answer


























  • Not bad, can we get the matrix lines drawn in or is it just like that

    – tjt263
    19 mins ago











  • @tjt263 Yes, sure.

    – marmot
    11 mins ago














3












3








3







This is in case you change your mind and use the adjacency matrices to draw the graphs. TikZ allows you to define arrays, see p. 999 of the pgfmanual. And these arrays can be converted to tables using this nice answer. And these matrices/arrays can also be used to define the graphs.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{etoolbox}
usetikzlibrary{matrix,positioning}
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begin{document}
begin{tikzpicture}[Bullet/.style={circle,draw,fill=black,inner sep=1.5pt},
adjacency matrix/.style={ampersand replacement=&,matrix of math nodes,
row 1/.append style={nodes={font=boldmath}},
column 1/.append style={nodes={font=boldmath}},nodes in empty cells,
nodes={draw,minimum width=1.5em,text height=1.8ex},column sep=-pgflinewidth,row
sep=-pgflinewidth}]
% first matrix
defadjancymatrix{%
{{0,0,1,1,0},%
{0,0,0,1,1},%
{1,0,0,0,1},%
{1,1,0,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=left]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (leftmat) [below=of left,adjacency matrix]{
mymatrixcontent
};
%
% second matrix
defadjancymatrix{%
{{0,1,0,0,1},%
{1,0,1,0,0},%
{0,1,0,1,0},%
{0,0,1,0,1},%
{1,0,0,1,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=middle,xshift=5cm]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (midmat) [below=of middle,adjacency matrix]{
mymatrixcontent
};
% third matrix
defadjancymatrix{%
{{0,1,0,1,0},%
{1,0,0,0,1},%
{0,0,0,1,1},%
{1,0,1,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=right,xshift=10cm]
foreach X in {1,...,3}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
node[Bullet,label=90+72-4*72:{$e_5$}] (E5) at (90+72-4*72:2) {} ;
node[Bullet,label=90+72-5*72:{$e_4$}] (E4) at (90+72-5*72:2) {} ;
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (rightmat) [below=of right,adjacency matrix]{
mymatrixcontent
};

end{tikzpicture}
end{document}


enter image description here






share|improve this answer















This is in case you change your mind and use the adjacency matrices to draw the graphs. TikZ allows you to define arrays, see p. 999 of the pgfmanual. And these arrays can be converted to tables using this nice answer. And these matrices/arrays can also be used to define the graphs.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{etoolbox}
usetikzlibrary{matrix,positioning}
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begin{document}
begin{tikzpicture}[Bullet/.style={circle,draw,fill=black,inner sep=1.5pt},
adjacency matrix/.style={ampersand replacement=&,matrix of math nodes,
row 1/.append style={nodes={font=boldmath}},
column 1/.append style={nodes={font=boldmath}},nodes in empty cells,
nodes={draw,minimum width=1.5em,text height=1.8ex},column sep=-pgflinewidth,row
sep=-pgflinewidth}]
% first matrix
defadjancymatrix{%
{{0,0,1,1,0},%
{0,0,0,1,1},%
{1,0,0,0,1},%
{1,1,0,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=left]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (leftmat) [below=of left,adjacency matrix]{
mymatrixcontent
};
%
% second matrix
defadjancymatrix{%
{{0,1,0,0,1},%
{1,0,1,0,0},%
{0,1,0,1,0},%
{0,0,1,0,1},%
{1,0,0,1,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=middle,xshift=5cm]
foreach X in {1,...,5}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (midmat) [below=of middle,adjacency matrix]{
mymatrixcontent
};
% third matrix
defadjancymatrix{%
{{0,1,0,1,0},%
{1,0,0,0,1},%
{0,0,0,1,1},%
{1,0,1,0,0},%
{0,1,1,0,0}}}
letmymatrixcontentempty
defmymatrixcontent{|[draw=none]|& 1 & 2 & 3 & 4 & 5\}
begin{scope}[local bounding box=right,xshift=10cm]
foreach X in {1,...,3}
{node[Bullet,label=90+72-X*72:{$e_X$}] (EX) at (90+72-X*72:2) {} ;}
node[Bullet,label=90+72-4*72:{$e_5$}] (E5) at (90+72-4*72:2) {} ;
node[Bullet,label=90+72-5*72:{$e_4$}] (E4) at (90+72-5*72:2) {} ;
foreach X in {1,...,5}
{begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{X }}x
foreach Y in {1,...,5}
{pgfmathtruncatemacro{itest}{adjancymatrix[X-1][Y-1]}
ifnumitest=1
draw (EX) -- (EY);
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{& 1 }}x
else
begingroupedefx{endgroup
noexpandgapptonoexpandmymatrixcontent{ &}}x
fi
}
gapptomymatrixcontent{\}
}
end{scope}
matrix (rightmat) [below=of right,adjacency matrix]{
mymatrixcontent
};

end{tikzpicture}
end{document}


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited 11 mins ago

























answered 1 hour ago









marmotmarmot

111k5140264




111k5140264













  • Not bad, can we get the matrix lines drawn in or is it just like that

    – tjt263
    19 mins ago











  • @tjt263 Yes, sure.

    – marmot
    11 mins ago



















  • Not bad, can we get the matrix lines drawn in or is it just like that

    – tjt263
    19 mins ago











  • @tjt263 Yes, sure.

    – marmot
    11 mins ago

















Not bad, can we get the matrix lines drawn in or is it just like that

– tjt263
19 mins ago





Not bad, can we get the matrix lines drawn in or is it just like that

– tjt263
19 mins ago













@tjt263 Yes, sure.

– marmot
11 mins ago





@tjt263 Yes, sure.

– marmot
11 mins ago


















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