\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