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authorNorbert Preining <norbert@preining.info>2020-03-10 03:01:27 +0000
committerNorbert Preining <norbert@preining.info>2020-03-10 03:01:27 +0000
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tree30597445c86d75b20a836b6c90ab6c31b76d902e /macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Dyck.tex
parent0561778af6f8fde0a3a1c334e2aab9a4f1142d6e (diff)
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-\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 \ No newline at end of file