čtvrtek 8. března 2012

Graph theory in Latex

For one of my previous posts, I needed some images of graphs. Initially I have taught, that I will just draw them in Inkscape or some other tool, but after a while I have decided to do something more clever – which might maybe serve me in the future – draw the graphs in Latex. After a quick search I have found this blog:

http://graphtheoryinlatex.wordpress.com/ and older posts from the same author: http://graphtheoryinlatex.blogspot.com/

This blog is about drawing graphs in TeX. So what do you need:

TikZ – a graphic system for Tex

Tkz-graph – style with basic graph drawing macros.

Tkz-berge – style with more complex drawing – such as predefined graphs (full graphs, bipartite graphs, grids etc.)

Some TeX editor. I am using Inlage. Which is not expensive and takes care for downloading all the necessary packages.

So here are the graphs and variants which I have used in the previous post:

Graph with 4 edges in a circle:

\begin{tikzpicture}
\GraphInit[vstyle=Welsh]
\SetGraphUnit{2}
\Vertices{circle}{A,B,C,D}
\Edges(A,B,C,D,A,C)
\SetVertexNoLabel
\end{tikzpicture}
image

Coloring some of the nodes:

\begin{tikzpicture}
\GraphInit[vstyle=Classic]
\SetGraphUnit{2}
\Vertices{circle}{A,B,C,D}
\Edges(A,B,C,D,A,C)
\SetVertexNoLabel
\AddVertexColor{red}{B,D}
\AddVertexColor{green}{A}
\AddVertexColor{blue}{C}
\end{tikzpicture}  

 

Graph with labeled edges

\begin{tikzpicture}
\GraphInit[vstyle=Welsh]
\SetGraphUnit{2}
\Vertices{circle}{A,B,C,D,E}
\SetUpEdge[style={->}]
\Edges[label=1](A,B)
\Edges[label=1](B,C)
\Edges[label=1](C,D)
\Edges[label=$1$](D,E)
\Edges[label=x1](A,C)
\Edges[label=x2](A,D)
\Edges[label=x3](A,E)
\SetVertexNoLabel
\end{tikzpicture}

Graph with positioned vertices.

Using the EA, NOEA and similar macros (EA = East of first vertex define the second vertex, NOEA = Northeast of…)

\begin{tikzpicture}
\SetGraphUnit{2}
\GraphInit[vstyle=Normal]
\Vertex{S}
\NOEA(S){A} \SOEA(S){B}
\EA(A){T1} \EA(B){T2}
\SOEA(T1){F}
\Edges[label=1](S,A)
\Edges[label=1](S,B)
\Edges[label=4](A,T1)
\Edges[label=2](B,T2)
\Edges[label=1](T1,F)
\Edges[label=1](T2,F)
\Edges[style={pos=.25},label=3](A,T2)
\Edges[style={pos=.25},label=2](B,T1)
%Could use this for bending%
\tikzset{EdgeStyle/.append style = {bend left}}
\end{tikzpicture}

Bipartite graph using the berge styles:

\begin{tikzpicture}
\grCompleteBipartite[RA=4,RB=3,RS=6]{2}{2}
\end{tikzpicture}

image

For now I am content that I have found this blog and actually I have to say, that drawing graphs in TeX is much easier than I have expected.

1 komentář:

  1. Thank you for this blog post! I was looking for some simple examples of graphs in LaTeX and your article gave me a great start. :)

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