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N amed G raph s v 1.00 c AlterMundus

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7 Coxeter 22<br />

SECTION 7<br />

Coxeter<br />

From MathWorld : http://mathworld.wolfram.com/CoxeterG<strong>raph</strong>.html<br />

The Coxeter g<strong>raph</strong> is a nonhamiltonian cubic symmetric g<strong>raph</strong> on 28 vertices and 42 edges.<br />

7.1 Coxeter g<strong>raph</strong> I<br />

\begin{tikzpicture}[rotate=90,scale=1]<br />

\G<strong>raph</strong>Init[vstyle=Art]<br />

\SetG<strong>raph</strong>ArtColor{magenta}{gray}<br />

\grCycle[RA=5,prefix=a]{7}<br />

\begin{scope}[rotate=-20]\grEmptyCycle[RA=4,prefix=b]{7}\end{scope}<br />

\grCirculant[RA=3,prefix=c]{7}{2}<br />

\grCirculant[RA=1.4,prefix=d]{7}{3}<br />

\EdgeIdentity{a}{b}{7}<br />

\EdgeIdentity{b}{c}{7}<br />

\EdgeIdentity{b}{d}{7}<br />

\end{tikzpicture}<br />

N<strong>amed</strong>G<strong>raph</strong>s<br />

<strong>AlterMundus</strong>

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