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author | Norbert Preining <norbert@preining.info> | 2021-01-22 03:00:46 +0000 |
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committer | Norbert Preining <norbert@preining.info> | 2021-01-22 03:00:46 +0000 |
commit | e1a7798f45cd37c0aa0bfaaef5f0acb4e48bc867 (patch) | |
tree | d2bbebcdb7bcb8fe013a9d3cbd2cff880b18afbf /macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex | |
parent | 37cb9bbabbfe1a8d0d1334832814ccbefcf9ac0a (diff) |
CTAN sync 202101220300
Diffstat (limited to 'macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex')
-rw-r--r-- | macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex | 85 |
1 files changed, 85 insertions, 0 deletions
diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex new file mode 100644 index 0000000000..4f6a55c1fc --- /dev/null +++ b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex @@ -0,0 +1,85 @@ +\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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