Enumerations of Cayley graphs

Details Enumerations of Cayley graphs Enumerations of Cayley graphs

2006-09-16

arxiv.org/abs/math/0609462v1

Mathematics

Combinatorics

10 pages

Scientific paper

We characterize the equivalence and the weak equivalence of Cayley graphs for
a finite group $\C{A}$. Using these characterizations, we find enumeration
formulae of the equivalence classes and weak equivalence classes of Cayley
graphs. As an application, we find the number of weak equivalence classes of
circulant graphs.

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