Cayley graphs on abelian and generalized dihedral groups.

The Art of Discrete and Applied Mathematics(2023)

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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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Key words
generalized dihedral groups,abelian
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