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- W2949517268 abstract "A graph is called a GRR if its automorphism group acts regularly on its vertex-set. Such a graph is necessarily a Cayley graph. Godsil has shown that there are only two infinite families of finite groups that do not admit GRRs : abelian groups and generalised dicyclic groups. Indeed, any Cayley graph on such a group admits specific additional graph automorphisms that depend only on the group. Recently, Dobson and the last two authors showed that almost all Cayley graphs on abelian groups admit no automorphisms other than these obvious necessary ones. In this paper, we prove the analogous result for Cayley graphs on the remaining family of exceptional groups: generalised dicyclic groups." @default.
- W2949517268 created "2019-06-27" @default.
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- W2949517268 date "2013-10-02" @default.
- W2949517268 modified "2023-09-27" @default.
- W2949517268 title "Automorphisms of Cayley graphs on generalised dicyclic groups" @default.
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