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diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Tutte.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Tutte.tex new file mode 100644 index 0000000000..b97887549b --- /dev/null +++ b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Tutte.tex @@ -0,0 +1,44 @@ +\newpage\section{Tutte-Coxeter}\label{tutte} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Tutte –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + + +\begin{NewMacroBox}{grTutteCoxeter}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/LeviGraph.html} + +\emph{The Levi graph is the unique (3,8)-cage graph and Moore graph. It is also distance-regular and is also called the Tutte-Coxeter graph or Tutte's 8-cage.} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Tutte–Coxeter_graph} + +\emph{In the mathematical field of graph theory, the Tutte–Coxeter graph or Tutte eight-cage is a 3-regular graph with 30 vertices and 45 edges. As the unique smallest cubic graph of girth 8 it is a cage and a Moore graph. It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle. The graph is named after William Thomas Tutte and H. S. M. Coxeter; it was discovered by Tutte (1947) but its connection to geometric configurations was investigated by both authors in a pair of jointly published papers (Tutte 1958; Coxeter 1958a).} +\end{NewMacroBox} + +\subsection{\tkzname{Tutte-Coxeter graph (3,8)-cage or Levi graph}} +An other method to get the same result is~: + +\medskip +\begin{tkzexample}[code only] + \grLCF[RA=7]{-13,-9,7,-7,9,13}{5}\end{tkzexample} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \tikzset{VertexStyle/.append style={minimum size=2pt}} + \SetGraphArtColor{blue}{darkgray} + \grTutteCoxeter +\end{tikzpicture} +\end{tkzexample} + +\end{center} + +\endinput
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