Two new families of non-CCA groups
| dc.contributor.author | Fuller, Brandon | |
| dc.contributor.author | Morris, Joy | |
| dc.date.accessioned | 2025-12-13T20:58:06Z | |
| dc.date.available | 2025-12-13T20:58:06Z | |
| 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 determine two new infinite families of Cayley graphs that admit colour-preserving automorphisms that do not come from the group action. By definition, this means that these Cayley graphs fail to have the CCA (Cayley Colour Automorphism) property, and the corresponding infinite families of groups also fail to have the CCA property. The families of groups consist of the direct product of any dihedral group of order 2n where nāā„ā3 is odd, with either itself, or the cyclic group of order n. In particular, this family of examples includes the smallest non-CCA group that does not fit into any previous family of known non-CCA groups. | |
| dc.description.peer-review | Yes | |
| dc.identifier.citation | Fuller, B., & Morris, J. (2021). Two new families of non-CCA groups. The Art of Discrete and Applied Mathematics, 4, Article #P1.08. https://doi.org/10.26493/2590-9770.1370.445 | |
| dc.identifier.uri | https://hdl.handle.net/10133/7258 | |
| dc.language.iso | en | |
| dc.publisher | University of Primorska | |
| dc.publisher | The Slovenian Discrete and Applied Mathematics Society | |
| dc.publisher.department | Department of Mathematics and Computer Science | |
| dc.publisher.faculty | Arts and Science | |
| dc.publisher.institution | University of Lethbridge | |
| dc.publisher.url | https://doi.org/10.26493/2590-9770.1370.445 | |
| dc.subject | Cayley graphs | |
| dc.subject | Automorphisms | |
| dc.subject | Colour preserving | |
| dc.subject | CCA | |
| dc.title | Two new families of non-CCA groups | |
| dc.type | Article |