Cayley graphs of more than one abelian group
| dc.contributor.author | Dobson, Edward | |
| dc.contributor.author | Morris, Joy | |
| dc.date.accessioned | 2025-12-12T21:58:10Z | |
| dc.date.available | 2025-12-12T21:58:10Z | |
| dc.date.issued | 2021 | |
| dc.description | Open access article. Creative Commons Attribution 4.0 International license (CC BY 4.0) applies | |
| dc.description.abstract | We show that for certain integers n, the problem of whether or not a Cayley digraph Γ of ℤn is also isomorphic to a Cayley digraph of some other abelian group G of order n reduces to the question of whether or not a natural subgroup of the full automorphism group contains more than one regular abelian group up to isomorphism (as opposed to the full automorphism group). A necessary and sufficient condition is then given for such circulants to be isomorphic to Cayley digraphs of more than one abelian group, and an easy-to-check necessary condition is provided. | |
| dc.description.peer-review | Yes | |
| dc.identifier.citation | Dobson, E., & Morris, J. (2021). Cayley graphs of more than one abelian group. The Art of Discrete and Applied Mathematics, 4(3), Article #P3.11. https://doi.org/10.26493/2590-9770.1352.4dc | |
| dc.identifier.uri | https://hdl.handle.net/10133/7255 | |
| dc.language.iso | en | |
| dc.publisher | University of Primorska | |
| dc.publisher.department | Department of Mathematics and Computer Science | |
| dc.publisher.faculty | Arts and Science | |
| dc.publisher.institution | University of Primorska | |
| dc.publisher.institution | University of L | |
| dc.publisher.url | https://doi.org/10.26493/2590-9770.1352.4dc | |
| dc.subject | Cayley graph | |
| dc.subject | Circulant graph | |
| dc.subject | Group | |
| dc.title | Cayley graphs of more than one abelian group | |
| dc.type | Article |