{ "id": "2205.01299", "version": "v1", "published": "2022-05-03T04:33:33.000Z", "updated": "2022-05-03T04:33:33.000Z", "title": "Cayley graphs on non-isomorphic groups", "authors": [ "Joy Morris", "Adrian Skelton" ], "comment": "6 pages", "categories": [ "math.CO" ], "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.", "revisions": [ { "version": "v1", "updated": "2022-05-03T04:33:33.000Z" } ], "analyses": { "subjects": [ "05C25" ], "keywords": [ "cayley graph", "non-isomorphic groups", "nonisomorphic group", "conditions", "abelian group" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }