From e1a7798f45cd37c0aa0bfaaef5f0acb4e48bc867 Mon Sep 17 00:00:00 2001
From: Norbert Preining <norbert@preining.info>
Date: Fri, 22 Jan 2021 03:00:46 +0000
Subject: CTAN sync 202101220300

---
 .../NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex  | 122 +++++++++++++++++++++
 1 file changed, 122 insertions(+)
 create mode 100644 macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex

(limited to 'macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex')

diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex
new file mode 100644
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--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex
@@ -0,0 +1,122 @@
+\newpage\section{Coxeter}
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<–––––––––––––––––––––––––––––    Coxeter  ––––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+From MathWorld : \url{http://mathworld.wolfram.com/CoxeterGraph.html}
+
+The Coxeter graph is a nonhamiltonian cubic symmetric graph on 28 vertices and 42 edges.
+
+
+\subsection{\tkzname{Coxeter graph I}}
+
+\bigskip
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[rotate=90,scale=1]
+  \GraphInit[vstyle=Art]
+  \SetGraphArtColor{magenta}{gray}
+  \grCycle[RA=5,prefix=a]{7}
+  \begin{scope}[rotate=-20]\grEmptyCycle[RA=4,prefix=b]{7}\end{scope}
+  \grCirculant[RA=3,prefix=c]{7}{2}
+  \grCirculant[RA=1.4,prefix=d]{7}{3}
+  \EdgeIdentity{a}{b}{7} 
+  \EdgeIdentity{b}{c}{7} 
+  \EdgeIdentity{b}{d}{7} 
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+
+\vfill\newpage
+\subsection{\tkzname{Coxeter graph II}}
+
+\bigskip
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+  \GraphInit[vstyle=Art]
+  \SetGraphArtColor{magenta}{gray}
+  \grCycle[RA=7,prefix=b]{24}
+  \grEmptyStar[RA=3,prefix=a]{4}
+  \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{0}{8}{2}
+  \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{7}{8}{2}
+  \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{18}{8}{2}
+  \EdgeDoubleMod{a}{4}{3}{0}{b}{24}{22}{8}{2}
+  \EdgeInGraphMod*{b}{24}{6}{5}{8}
+  \EdgeInGraphMod*{b}{24}{11}{1}{8}
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+
+\vfill\newpage
+
+\subsection{\tkzname{Coxeter graph III}}
+
+\bigskip
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+  \GraphInit[vstyle=Art]
+  \SetGraphArtColor{magenta}{gray}
+  \grCycle[RA=7,prefix=c]{7}
+  \grEmptyCycle[RA=6,prefix=b]{7}
+  \begin{scope}[rotate=12.85]\grEmptyCycle[RA=5,prefix=a]{14}\end{scope}
+  \EdgeIdentity{b}{c}{7}
+  \EdgeDoubleMod{b}{7}{0}{1}{a}{14}{0}{2}{6}
+  \EdgeDoubleMod{b}{7}{0}{1}{a}{14}{13}{2}{6}
+  \EdgeInGraphModLoop{a}{14}{4}{0}{0}
+  \EdgeInGraphModLoop{a}{14}{6}{1}{1}
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––   Tutte-Coxeter graph    ––––––––––––––––––––––––––––>
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+
+\vfill\newpage
+\subsection{\tkzname{Tutte-Coxeter graph I}}
+
+\tikzstyle{VertexStyle} = [very thin,draw,
+                           shape                =  circle,
+                           color                =  white,
+                           fill                 =  black,
+                           inner sep            =  0pt,
+                           minimum size         =  18pt]
+\tikzstyle{EdgeStyle}   = [thick,
+                           double               = brown,
+                           double distance      = 1pt]
+
+\bigskip
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[scale=3]
+  \GraphInit[vstyle=Art]
+  \SetGraphArtColor{blue}{cyan}
+  \begin{scope}[rotate=5]\grCycle[RA=2.5,prefix=a]{10}\end{scope}
+  \begin{scope}[rotate=-10]\grCirculant[RA=1.8,prefix=b]{10}{5}\end{scope}
+  \begin{scope}[rotate=36]\grCirculant[RA=1.1,prefix=c]{10}{3}\end{scope}
+  \EdgeIdentity{a}{b}{10} 
+  \EdgeIdentity{b}{c}{10} 
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+% 
+
+\vfill\newpage
+\subsection{\tkzname{Tutte-Coxeter graph II}}
+
+\bigskip
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+     \GraphInit[vstyle=Art]
+     \SetGraphArtColor{blue}{darkgray}
+     \grLCF[RA=7]{-13,-9,7,-7,9,13}{5}
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+
+\endinput
\ No newline at end of file
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