Cayley graphs on abelian and generalized dihedral groups
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Date
2023
Authors
Morris, Joy
Skelton, Adrian
Journal Title
Journal ISSN
Volume Title
Publisher
University of Primorska
The Slovenian Discrete and Applied Mathematics Society
The Slovenian Discrete and Applied Mathematics Society
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.
Description
Open access article. Creative Commons Attribution 4.0 International license (CC BY 4.0) applies
Keywords
Caley graphs , Generalized dihedral groups , Abelian groups , Isomorphism
Citation
Morris, J., & Skelton, A. (2023). Cayley graphs on abelian and generalized dihedral groups. The Art of Discrete and Applied Mathematics, 6(3), Article #P3.09. https://doi.org/10.26493/2590-9770.1550.f59