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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10 Cubic Symmetric G<strong>raph</strong>s 32<br />
SECTION 10<br />
Cubic Symmetric G<strong>raph</strong>s<br />
A cubic symmetric g<strong>raph</strong> is a symmetric cubic (i.e., regular of order 3). Such g<strong>raph</strong>s were first studied by Foster<br />
(1932). They have since been the subject of much interest and study. Since cubic g<strong>raph</strong>s must have an even<br />
number of vertices, so must cubic symmetric g<strong>raph</strong>s.<br />
The circulant g<strong>raph</strong> , is illustrated below.<br />
10.1 Cubic Symmetric G<strong>raph</strong> form 1<br />
\begin{tikzpicture}[rotate=90]<br />
\SetVertexNoLabel<br />
\grLCF[RA=6]{3,-3}{4}<br />
\end{tikzpicture}<br />
N<strong>amed</strong>G<strong>raph</strong>s<br />
<strong>AlterMundus</strong>
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