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An explicit characterization of arc-transitive circulants

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arxiv 1906.04620 v2 pith:3KMQBKDG submitted 2019-06-11 math.CO

Cai Heng Li , Binzhou Xia , Sanming Zhou This is my paper · ORCID
classification math.CO
keywords arc-transitivecirculantscharacterizationexplicitgiveauthorautomorphismci-digraphs
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A reductive characterization of arc-transitive circulants was given independently by Kovacs in 2004 and the first author in 2005. In this paper, we give an explicit characterization of arc-transitive circulants and their automorphism groups. Based on this, we give a proof of the fact that arc-transitive circulants are all CI-digraphs.

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Cited by 1 Pith paper

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  1. The NNN-Property of Cyclic Groups

    math.CO 2019-08 conditional novelty 7.0 of 10

    Every cyclic group is shown to have no NNN-graph: in every normal circulant, all regular subgroups isomorphic to the cyclic group are normal.

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