On colour-preserving automorphisms of Caley graphs

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Morris on colour-preserving automorphisms.pdf(412.93 KB)
Date
2016
Authors
Hujdurovic, Ademir
Kutnar, Klavdija
Morris, Dave Witte
Morris, Joy
Journal Title
Journal ISSN
Volume Title
Publisher
Drustvo Matematikov, Fizikov in Astronomov
Abstract
We 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.
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Open access, licensed under Creative Commons
Keywords
Caley graph , Automorphism , Colour-preserving , Colour-permuting
Citation
Hujdurovic, A., Kutnar, K., Morris, D. W., & Morris, J. (2016). On colour-preserving automorphisms of Caley graphs. Ars Mathematica Contemporanea, 11(1), 189-213
URI
https://hdl.handle.net/10133/5161
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Morris, Joy
Morris, Dave