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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
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