On colour-preserving automorphisms of Caley graphs

dc.contributor.authorHujdurovic, Ademir
dc.contributor.authorKutnar, Klavdija
dc.contributor.authorMorris, Dave Witte
dc.contributor.authorMorris, Joy
dc.date.accessioned2018-07-10T17:32:08Z
dc.date.available2018-07-10T17:32:08Z
dc.date.issued2016
dc.descriptionOpen access, licensed under Creative Commonsen_US
dc.description.abstractWe study the automorphisms of a Cayley graph that preserve its natural edge-colouring. More precisely, we are interested in groups G, such that every such automorphism of every connected Cayley graph on G has a very simple form: the composition of a left-translation and a group automorphism. We find classes of groups that have the property, and we determine the orders of all groups that do not have the property. We also have analogous results for automorphisms that permute the colours, rather than preserving them.en_US
dc.description.peer-reviewYesen_US
dc.identifier.citationHujdurovic, A., Kutnar, K., Morris, D. W., & Morris, J. (2016). On colour-preserving automorphisms of Caley graphs. Ars Mathematica Contemporanea, 11(1), 189-213en_US
dc.identifier.urihttps://hdl.handle.net/10133/5161
dc.language.isoen_USen_US
dc.publisherDrustvo Matematikov, Fizikov in Astronomoven_US
dc.publisher.departmentDepartment of Mathematics and Computer Scienceen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Primorskaen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.subjectCaley graphen_US
dc.subjectAutomorphismen_US
dc.subjectColour-preservingen_US
dc.subjectColour-permutingen_US
dc.subject.lcshAutomorphisms
dc.subject.lcshCaley graphs
dc.subject.lcshGraph theory
dc.titleOn colour-preserving automorphisms of Caley graphsen_US
dc.typeArticleen_US
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