Name
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. |
Year | Venue | Keywords |
|---|---|---|
2016 | ARS MATHEMATICA CONTEMPORANEA | Cayley graph,automorphism,colour-preserving,colour-permuting |
Field | DocType | Volume |
Graph automorphism,Outer automorphism group,Discrete mathematics,Topology,Combinatorics,Vertex-transitive graph,Edge-transitive graph,Automorphisms of the symmetric and alternating groups,Cayley's theorem,Cayley graph,Cayley transform,Mathematics | Journal | 11 |
Issue | ISSN | Citations |
1 | 1855-3966 | 1 |
PageRank | References | Authors |
0.43 | 3 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ademir Hujdurović | 1 | 18 | 10.06 |
| Klavdija Kutnar | 2 | 138 | 24.35 |
| Dave Witte Morris | 3 | 20 | 5.42 |
| Joy Morris | 4 | 78 | 16.06 |