N amed G raph s v 1.00 c AlterMundus
N amed G raph s v 1.00 c AlterMundus
N amed G raph s v 1.00 c AlterMundus
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16 Gray 50<br />
SECTION 16<br />
Gray<br />
From MathWorld :http://mathworld.wolfram.com/GrayG<strong>raph</strong>.html<br />
MathWorld by E.Weisstein<br />
The Gray g<strong>raph</strong> is a cubic semisymmetric g<strong>raph</strong> on 54 vertices. It was discovered by Marion C. Gray in 1932,<br />
and was first published by Bouwer (1968). Malnic et al. (2004) showed that the Gray g<strong>raph</strong> is indeed the<br />
smallest possible cubic semisymmetric g<strong>raph</strong>.<br />
It is the incidence g<strong>raph</strong> of the Gray configuration.<br />
The Gray g<strong>raph</strong> has a single order-9 LCF Notation and five distinct order-1 LCF notations.<br />
The Gray g<strong>raph</strong> has girth 8, g<strong>raph</strong> diameter 6<br />
It can be represented in LCF notation as [ − 25,7,−7,13,−13,25 ] 9<br />
\begin{tikzpicture}[rotate=90]<br />
\G<strong>raph</strong>Init[vstyle=Art]<br />
\SetG<strong>raph</strong>ArtColor{gray}{red}<br />
\grLCF[Math,RA=6]{-25,7,-7,13,-13,25}{9}<br />
\end{tikzpicture}<br />
N<strong>amed</strong>G<strong>raph</strong>s<br />
<strong>AlterMundus</strong>