Cayley graphs on non-isomorphic groups

Published 3 May 2022 in math.CO | (2205.01299v1)

Abstract: A number of authors have studied the question of when a graph can be represented as a Cayley graph on more than one nonisomorphic group. In this paper we give conditions for when a Cayley graph on an abelian group can be represented as a Cayley graph on a generalized dihedral group, and conditions for when the converse is true.

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