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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>

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