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

---
 .../doc/latex/NamedGraphs-Desargues.tex            | 88 ++++++++++++++++++++++
 1 file changed, 88 insertions(+)
 create mode 100644 macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Desargues.tex

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

diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Desargues.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Desargues.tex
new file mode 100644
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+++ b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Desargues.tex
@@ -0,0 +1,88 @@
+\newpage\section{Desargues}\label{desargues}
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<–––––––––––––––––––––––––––––    Desargues –––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+\begin{NewMacroBox}{grDesargues}{\oarg{options}}
+
+\medskip
+From Wikipedia : \url{http://en.wikipedia.org/wiki/Desargues_graph} 
+
+\emph{ In the mathematical field of graph theory, the Desargues graph is a 3-regular graph with 20 vertices and 30 edges, formed as the Levi graph of the Desargues configuration.The Desargues graph can also be formed as a double cover of the Petersen graph, as the generalized Petersen graph G(10,3), or as the bipartite Kneser graph $H_{5,2}$.}
+
+\medskip
+From MathWord : \url{http://mathworld.wolfram.com/DesarguesGraph.html}  
+
+\emph{ The Desargues graph is a cubic symmetric graph distance-regular graph on 20 vertices and 30 edges, illustrated above in several embeddings. It can be represented in LCF notation as  (Frucht 1976) and is isomorphic to the bipartite Kneser graph . It is the incidence graph of the Desargues configuration.}
+\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 Desargues graph is implemented in \tkzname{tkz-berge} as \tkzcname{grDesargues} with two forms.
+\end{NewMacroBox}
+
+
+\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]
+\SetVertexMath
+\subsection{\tkzname{The Desargues graph : form 1}}
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[scale=.6]
+    \grDesargues[Math,RA=6]
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+\vfill\newpage
+\subsection{\tkzname{The Desargues graph : form 2}}
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+   \grDesargues[form=2,Math,RA=7]
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+\vfill\newpage  
+\subsection{The Desargues graph wth \tkzname{LCF notation}}
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[rotate=90]
+   \grLCF[Math,RA=6]{5,-5,9,-9}{5}
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+
+\vfill\newpage  
+\subsection{The Desargues graph with \tkzcname{grGeneralizedPetersen}}
+\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]  
+  \grGeneralizedPetersen[Math,RA=6]{10}{3}
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+\endinput
\ No newline at end of file
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