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authorNorbert Preining <norbert@preining.info>2021-01-22 03:00:46 +0000
committerNorbert Preining <norbert@preining.info>2021-01-22 03:00:46 +0000
commite1a7798f45cd37c0aa0bfaaef5f0acb4e48bc867 (patch)
treed2bbebcdb7bcb8fe013a9d3cbd2cff880b18afbf /macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex
parent37cb9bbabbfe1a8d0d1334832814ccbefcf9ac0a (diff)
CTAN sync 202101220300
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+\newpage\section{Doyle}\label{doyle}
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––––––––––– Doyle ––––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+\begin{NewMacroBox}{grDoyle}{\oarg{options}}
+
+\medskip
+From MathWord : \url{http://mathworld.wolfram.com/DoyleGraph.html}
+
+\emph{The Doyle graph, sometimes also known as the Holt graph (Marušič et al. 2005), is the symmetric quartic graph on 27 nodes illustrated. It is a Symmetric Graph. Three embeddings are illustrated below.}
+\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
+The Doyle graph is implemented in \tkzname{tkz-berge} as \tkzcname{grDoyle} with three forms.
+\end{NewMacroBox}
+
+\subsection{\tkzname{The Doyle graph : form 1}}
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[scale=.6]
+ \GraphInit[vstyle=Shade]
+ \SetGraphShadeColor{red}{Maroon}{fondpaille}
+ \SetVertexNoLabel
+ \grDoyle[RA=7,RB=5,RC=3]
+ \end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+\vfill\newpage
+\subsection{\tkzname{The Doyle graph : form 2}}
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+ \GraphInit[vstyle=Shade]
+ \SetGraphShadeColor{red}{Magenta}{white}
+ \SetVertexNoLabel
+ \grDoyle[form=2,RA=7]
+ \end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+\vfill\newpage
+\subsection{\tkzname{The Doyle graph : form 3}}
+\begin{center}
+ \begin{tkzexample}[vbox]
+\begin{tikzpicture}
+ \SetGraphArtColor{red}{Magenta}{red}
+ \GraphInit[vstyle=Shade]
+ \SetVertexNoLabel
+ \grDoyle[form=3,RA=7,RB=2]
+ \end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+
+\vfill\newpage
+
+\subsection{27 nodes but not isomorphic to the Doyle graph}
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[scale=.6]
+ \tikzstyle{VertexStyle} = [shape = circle,
+ ball color = gray!60,
+ minimum size = 16pt,draw]
+ \tikzstyle{EdgeStyle} = [thick,color=black,%
+ double = orange,%
+ double distance = 1pt]
+ \SetVertexNoLabel
+ \grCycle[RA=7.5]{9}
+ \grEmptyCycle[prefix=b,RA=5.5]{9}
+ \grCirculant[prefix=c,RA=3.5]{9}{4}
+ \EdgeIdentity{b}{c}{9}
+ \EdgeMod{a}{c}{9}{1}
+ \EdgeMod{a}{b}{9}{1}
+ \EdgeInGraphMod{b}{9}{2}
+ \end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+
+\endinput \ No newline at end of file