From e1a7798f45cd37c0aa0bfaaef5f0acb4e48bc867 Mon Sep 17 00:00:00 2001 From: Norbert Preining 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 index 0000000000..937ef0194f --- /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 -- cgit v1.2.3