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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-Gray.tex
parent37cb9bbabbfe1a8d0d1334832814ccbefcf9ac0a (diff)
CTAN sync 202101220300
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+\newpage\section{Gray}
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<–––––––––––––––––––– Gray –––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+From MathWorld :\url{ http://mathworld.wolfram.com/GrayGraph.html}
+
+\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}}
+
+
+The Gray graph is a cubic semisymmetric graph on 54 vertices. It was discovered by Marion C. Gray in 1932, and was first published by Bouwer (1968). Malnic et al. (2004) showed that the Gray graph is indeed the smallest possible cubic semisymmetric graph.
+
+It is the incidence graph of the Gray configuration.
+
+The Gray graph has a single order-9 LCF Notation and five distinct order-1 LCF notations.
+
+The Gray graph has girth 8, graph diameter 6
+
+It can be represented in LCF notation as $\big[-25,7,-7,13,-13,25\big]^9$
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[rotate=90]
+ \GraphInit[vstyle=Art]
+ \SetGraphArtColor{gray}{red}
+ \grLCF[Math,RA=6]{-25,7,-7,13,-13,25}{9}
+ \end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+\endinput \ No newline at end of file