English

An explicit characterization of arc-transitive circulants

Combinatorics 2021-02-16 v2

Abstract

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.

Cite

@article{arxiv.1906.04620,
  title  = {An explicit characterization of arc-transitive circulants},
  author = {Cai Heng Li and Binzhou Xia and Sanming Zhou},
  journal= {arXiv preprint arXiv:1906.04620},
  year   = {2021}
}
R2 v1 2026-06-23T09:50:20.436Z