Generating adjacency matrices from isomorphic graphsTikz foreach inside matrixHow to make tikz center the cells of a matrix?Bipartite graphsDrawing graphs in LaTeXGenerating dozens of graphsTo wrap the external lines so that it can touch the perimeterDrawing rectilinear curves in Tikz, aka an Etch-a-Sketch drawingExporting graphs from Mathematica to LaTex document?Line up nested tikz enviroments or how to get rid of themGenerating graphs with smooth edges?How to draw animated isomorphic graphs?
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Generating adjacency matrices from isomorphic graphs
Tikz foreach inside matrixHow to make tikz center the cells of a matrix?Bipartite graphsDrawing graphs in LaTeXGenerating dozens of graphsTo wrap the external lines so that it can touch the perimeterDrawing rectilinear curves in Tikz, aka an Etch-a-Sketch drawingExporting graphs from Mathematica to LaTex document?Line up nested tikz enviroments or how to get rid of themGenerating graphs with smooth edges?How to draw animated isomorphic graphs?
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?
Here's an example of the code to generate a graph:
documentclassstandalone
usepackagetikz
begindocument
begintikzpicture
tikzsetBullet/.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) ;
endtikzpicture
enddocument
diagrams matrices graphs tikz-pic
add a comment |
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?
Here's an example of the code to generate a graph:
documentclassstandalone
usepackagetikz
begindocument
begintikzpicture
tikzsetBullet/.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) ;
endtikzpicture
enddocument
diagrams matrices graphs tikz-pic
Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?
– marmot
3 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
2 hours ago
add a comment |
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?
Here's an example of the code to generate a graph:
documentclassstandalone
usepackagetikz
begindocument
begintikzpicture
tikzsetBullet/.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) ;
endtikzpicture
enddocument
diagrams matrices graphs tikz-pic
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?
Here's an example of the code to generate a graph:
documentclassstandalone
usepackagetikz
begindocument
begintikzpicture
tikzsetBullet/.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) ;
endtikzpicture
enddocument
diagrams matrices graphs tikz-pic
diagrams matrices graphs tikz-pic
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
3 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
2 hours ago
add a comment |
Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?
– marmot
3 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
2 hours ago
Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?
– marmot
3 hours ago
Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?
– marmot
3 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
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
2 hours ago
add a comment |
1 Answer
1
active
oldest
votes
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
usepackageetoolbox
usetikzlibrarymatrix,positioning
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begindocument
begintikzpicture[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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
matrix (rightmat) [below=of right,adjacency matrix]
mymatrixcontent
;
endtikzpicture
enddocument
Not bad, can we get the matrix lines drawn in or is it just like that
– tjt263
44 mins ago
@tjt263 Yes, sure.
– marmot
36 mins ago
Excellent. Wish I could go the other way. Maybe I will just try to draw them manually instead.
– tjt263
21 mins ago
add a comment |
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1 Answer
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1 Answer
1
active
oldest
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active
oldest
votes
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
usepackageetoolbox
usetikzlibrarymatrix,positioning
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begindocument
begintikzpicture[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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
matrix (rightmat) [below=of right,adjacency matrix]
mymatrixcontent
;
endtikzpicture
enddocument
Not bad, can we get the matrix lines drawn in or is it just like that
– tjt263
44 mins ago
@tjt263 Yes, sure.
– marmot
36 mins ago
Excellent. Wish I could go the other way. Maybe I will just try to draw them manually instead.
– tjt263
21 mins ago
add a comment |
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
usepackageetoolbox
usetikzlibrarymatrix,positioning
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begindocument
begintikzpicture[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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
matrix (rightmat) [below=of right,adjacency matrix]
mymatrixcontent
;
endtikzpicture
enddocument
Not bad, can we get the matrix lines drawn in or is it just like that
– tjt263
44 mins ago
@tjt263 Yes, sure.
– marmot
36 mins ago
Excellent. Wish I could go the other way. Maybe I will just try to draw them manually instead.
– tjt263
21 mins ago
add a comment |
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
usepackageetoolbox
usetikzlibrarymatrix,positioning
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begindocument
begintikzpicture[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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
matrix (rightmat) [below=of right,adjacency matrix]
mymatrixcontent
;
endtikzpicture
enddocument
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
usepackageetoolbox
usetikzlibrarymatrix,positioning
% building the table in a foreach loop from https://tex.stackexchange.com/a/60400/121799
begindocument
begintikzpicture[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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
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& 1 & 2 & 3 & 4 & 5\
beginscope[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
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontentX x
foreach Y in 1,...,5
pgfmathtruncatemacroitestadjancymatrix[X-1][Y-1]
ifnumitest=1
draw (EX) -- (EY);
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent& 1 x
else
begingroupedefxendgroup
noexpandgapptonoexpandmymatrixcontent &x
fi
gapptomymatrixcontent\
endscope
matrix (rightmat) [below=of right,adjacency matrix]
mymatrixcontent
;
endtikzpicture
enddocument
edited 36 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
44 mins ago
@tjt263 Yes, sure.
– marmot
36 mins ago
Excellent. Wish I could go the other way. Maybe I will just try to draw them manually instead.
– tjt263
21 mins ago
add a comment |
Not bad, can we get the matrix lines drawn in or is it just like that
– tjt263
44 mins ago
@tjt263 Yes, sure.
– marmot
36 mins ago
Excellent. Wish I could go the other way. Maybe I will just try to draw them manually instead.
– tjt263
21 mins ago
Not bad, can we get the matrix lines drawn in or is it just like that
– tjt263
44 mins ago
Not bad, can we get the matrix lines drawn in or is it just like that
– tjt263
44 mins ago
@tjt263 Yes, sure.
– marmot
36 mins ago
@tjt263 Yes, sure.
– marmot
36 mins ago
Excellent. Wish I could go the other way. Maybe I will just try to draw them manually instead.
– tjt263
21 mins ago
Excellent. Wish I could go the other way. Maybe I will just try to draw them manually instead.
– tjt263
21 mins ago
add a comment |
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Shouldn't it be the other way around: you construct the diagrams from the adjacency matrices?
– marmot
3 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
2 hours ago