# Typesetting a directed, weighted graph with TikZ

I just started doing things with TikZ today and I run into a problem: there is just no example code snippets for typesetting directed, weighted graphs. Can anyone supply one simple example in an answer?

• By the way, is there anything like that on TeXample? – Torbjørn T. Dec 5 '11 at 14:10
• Have a look at: texample.net/tikz/examples/prims-algorithm and texample.net/tikz/examples/state-machine. The first one is not directed but can easily be made so. The second is a state machine, but replacing the edge labels should be straightforward and you obtain a directed weighted graph. And then there is: texample.net/tikz/examples/tkz-berge but I don't know the status of tkz-berge. Have a look at the rest of the site as well, many great examples. – Roelof Spijker Dec 5 '11 at 14:11
• I couldn't seem to find anything on tkz-berge. Perhaps it's been retired. Is Altermundus about? – qubyte Dec 5 '11 at 14:14
• If I'm not mistaking, you could something like that in R, and include the graphic either via a pdf, or automatically via Sweave. – Roman Luštrik Dec 5 '11 at 14:16
• Ah! Speak of the devil! – qubyte Dec 5 '11 at 14:17

I made tkz-graph and tkz-berge to help beginners to draw some graphs. tkz-berge is used for specials graphs (named graphs in graph theory)

You can use only tikz to draw graphs. Version with tkz-graph

\documentclass[]{article}
\usepackage[utf8]{inputenc}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage{fullpage}
\usepackage[upright]{fourier}
\usepackage{tkz-graph}
\usetikzlibrary{arrows}
\thispagestyle{empty}
\begin{document}
\SetVertexNormal[Shape      = circle,
FillColor  = orange,
LineWidth  = 2pt]
\SetUpEdge[lw         = 1.5pt,
color      = black,
labelcolor = white,
labeltext  = red,
labelstyle = {sloped,draw,text=blue}]
\begin{center}
\begin{tikzpicture}
\Vertex[x=0 ,y=0]{K}
\Vertex[x=0 ,y=2]{F}
\Vertex[x=-1,y=4]{D}
\Vertex[x=3 ,y=7]{H}
\Vertex[x=8 ,y=5]{B}
\Vertex[x=9 ,y=2]{N}
\Vertex[x=5 ,y=0]{M}
\Vertex[x=3 ,y=1]{S}
\tikzset{EdgeStyle/.append style = {bend left}}
\Edge[label = $120$](K)(F)
\Edge[label = $650$](H)(S)
\Edge[label = $780$](H)(M)
\Edge[label = $490$](D)(B)
\Edge[label = $600$](D)(M)
\Edge[label = $580$](B)(M)
\Edge[label = $600$](H)(N)
\Edge[label = $490$](F)(H)
\tikzset{EdgeStyle/.append style = {bend right}}
\Edge[label = $630$](S)(B)
\Edge[label = $210$](S)(N)
\Edge[label = $230$](S)(M)
\end{tikzpicture}
\end{center}

\end{document}


With arrows on edges

\documentclass[11pt]{scrartcl}
\usepackage{tkz-graph}

\begin{document}
\begin{tikzpicture}
\SetUpEdge[lw         = 1.5pt,
color      = orange,
labelcolor = white]
\GraphInit[vstyle=Normal]
\SetGraphUnit{3}
\tikzset{VertexStyle/.append  style={fill}}
\Vertex{P}
\NOEA(P){B}  \SOEA(P){M} \NOEA(B){D}
\SOEA(B){C}  \SOEA(C){L}
\tikzset{EdgeStyle/.style={->}}
\Edge[label=$3$](C)(B)
\Edge[label=$10$](D)(B)
\Edge[label=$10$](L)(M)
\Edge[label=$10$](B)(P)
\tikzset{EdgeStyle/.style={<->}}
\Edge[label=$4$](P)(M)
\Edge[label=$9$](C)(M)
\Edge[label=$4$](C)(L)
\Edge[label=$5$](C)(D)
\Edge[label=$10$](B)(M)
\tikzset{EdgeStyle/.style={<->,relative=false,in=0,out=60}}
\Edge[label=$11$](L)(D)
\end{tikzpicture}
\end{document}


update : Version with tikz and automata

\documentclass[11pt]{scrartcl}
\PassOptionsToPackage{usenames,dvipsnames,svgnames}{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,automata}

\begin{document}
\begin{tikzpicture}[>=stealth',shorten >=1pt,node distance=3cm,on grid,initial/.style    ={}]
\node[state]          (P)                        {$P$};
\node[state]          (B) [above right =of P]    {$B$};
\node[state]          (M) [below right =of P]    {$M$};
\node[state]          (D) [above right =of B]    {$D$};
\node[state]          (C) [below right =of B]    {$C$};
\node[state]          (L) [below right =of C]    {$L$};
\tikzset{mystyle/.style={->,double=orange}}
\tikzset{every node/.style={fill=white}}
\path (C)     edge [mystyle]    node   {$3$} (B)
(D)     edge [mystyle]    node   {$10$} (B)
(L)     edge [mystyle]    node   {$10$} (M)
(B)     edge [mystyle]    node   {$10$} (P);
\tikzset{mystyle/.style={<->,double=orange}}
\path (P)     edge [mystyle]   node   {$4$} (M)
(C)     edge [mystyle]   node   {$9$} (M)
(C)     edge [mystyle]   node   {$4$} (D)
(B)     edge [mystyle]   node   {$5$} (M);
\tikzset{mystyle/.style={<->,relative=false,in=0,out=60,double=orange}}
\path (L)     edge [mystyle]   node   {$10$} (D);
\end{tikzpicture}
\end{document}


• It might be nice to include where these packages can be found (link) and on a personal note, is there any documentation in English? My French is not what it used to be in high school and even then it was pretty bad. Also, it may be better to add a directed example here, since the question specifically asks for it. – Roelof Spijker Dec 5 '11 at 14:26
• TeXlive 2011, MikTeX or here ctan.org/tex-archive/macros/latex/contrib/tkz/tkz-graph. With the next version, there will be a French version. Count Zero will help me to translate ( tex.stackexchange.com/questions/35738/… ). You have some examples on my site altermundus.com/pages/tkz/graph/index.html – Alain Matthes Dec 5 '11 at 15:49
• That's almost what I need and I have typeset a similar undirected weighted graph using "Prim's algorithm" example from texample.net. Although, I need to include somehow a direction for each edge in the graph. Frankly, the edges should be arrows pointing from a source vertex to a destination vertex rather than simply connecting the two. – user1049393 Dec 6 '11 at 11:54
• I added an example with arrows on edges. You need to study tikz to modify sometimes the style of edges or vertices. – Alain Matthes Dec 6 '11 at 14:48
• Thanks for your input, Altermundus, but I cannot accept your answer as I have a lot of code purely in TikZ/PGF, and, thus, cannot afford porting to tkz-graph. Frankly, I ended up using 'automata' - TikZ-library in order to draw directed, weighted graphs (one, e.g., represented by the second image in your answer). – user1049393 Dec 9 '11 at 18:00

Here is a stripped down version usking tkz-graph of Alain Matthes's code that provides reasonable looking (for CS paper) defaults.

\documentclass{article}
\usepackage{tkz-graph}

\begin{document}

\begin{figure}
\centering
\begin{tikzpicture}
\Vertex[x=0,y=0]{K}
\Vertex[x=0,y=2]{F}
\Vertex[x=-1,y=4]{D}
\Vertex[x=3,y=7]{H}
\Vertex[x=8,y=5]{B}
\Vertex[x=9,y=2]{N}
\Vertex[x=5,y=0]{M}
\Vertex[x=3,y=3]{S}
\tikzstyle{LabelStyle}=[fill=white,sloped]
\tikzstyle{EdgeStyle}=[]
\Edge[label=$120$](K)(F)
\Edge[label=$650$](H)(S)
\Edge[label=$780$](H)(M)
\Edge[label=$490$](D)(B)
\Edge[label=$600$](D)(M)
\Edge[label=$580$](B)(M)
\Edge[label=$600$](H)(N)
\Edge[label=$490$](F)(H)
\tikzstyle{EdgeStyle}=[pre, bend right]
\Edge[label=$210$](S)(N)
\Edge[label=$230$](S)(M)
\end{tikzpicture}
\end{figure}

\end{document}


Useful resources: