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Enumerations of Cayley graphs

Dongseok Kim·Jin Hwan Kim·Jaeun Lee·Dianjun Wang
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Abstract

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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Dongseok Kim, Jin Hwan Kim, Jaeun Lee, Dianjun Wang. 2006-09-16. Enumerations of Cayley graphs. https://arxiv.org/abs/math/0609462

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