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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-CubicSymmetric.tex
parent37cb9bbabbfe1a8d0d1334832814ccbefcf9ac0a (diff)
CTAN sync 202101220300
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+\newpage\section{Cubic Symmetric Graphs}
+%<––––––––––––––––––––––––––––––––––––––––––––––––––--–––––––––––––––––––––––>
+%<–––––––––––––––––––––––Cubic Symmetric Graphs –––––––––––––––––––––––––>
+%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+A cubic symmetric graph is a symmetric cubic (i.e., regular of order 3). Such graphs were first studied by Foster (1932). They have since been the subject of much interest and study. Since cubic graphs must have an even number of vertices, so must cubic symmetric graphs.
+
+The circulant graph , is illustrated below.
+
+\subsection{\tkzname{Cubic Symmetric Graph form 1}}
+
+\vspace*{2cm}
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[rotate=90]
+ \SetVertexNoLabel
+ \grLCF[RA=6]{3,-3}{4}
+ \end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+\vfill\newpage
+
+\subsection{\tkzname{Cubic Symmetric Graph form 2}}
+
+\vspace*{1cm}
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[rotate=90]
+ \tikzstyle{VertexStyle} = [shape = circle,%
+ color = white,
+ fill = black,
+ very thin,
+ inner sep = 0pt,%
+ minimum size = 18pt,
+ draw]
+ \tikzstyle{EdgeStyle} = [thick,%
+ double = brown,%
+ double distance = 1pt]
+ \grLCF[Math,RA=6]{3,-3}{4}
+ \end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+\endinput \ No newline at end of file