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diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Dyck.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Dyck.tex new file mode 100644 index 0000000000..dfa3a2aab5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Dyck.tex @@ -0,0 +1,39 @@ +\newpage\section{Dyck graph}\label{dyck} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Nauru ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grDick}{\oarg{options}} + +From Wikipedia \url{http://en.wikipedia.org/wiki/Dyck_graph} + +\emph{In the mathematical field of graph theory, the Dyck graph is a 3-regular graph with 32 vertices and 48 edges, named after Walther von Dyck. It has chromatic number 2, radius 5, diameter 5 and girth 6. It is also a 3-vertex-connected and a 3-edge-connected graph. +} + +\medskip +From MathWorld \url{http://mathworld.wolfram.com/DyckGraph.html} + +\emph{The Dyck graph is unique cubic symmetric graph on 32 nodes, illustrated below in one of embeddings.} + +\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}} +\end{NewMacroBox} + +\subsection{\tkzname{Dyck graph}} + +It can be represented in LCF notation as $\big[5,-5,13,-13\big]^8$ + + + +\subsection{\tkzname{Dyck graph with LCF notation}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \grLCF[RA=7]{5,-5,13,-13}{8}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\endinput
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