Arc-transitive bicirculants
Combinatorics
2022-01-25 v2
Abstract
In this paper, we characterise the family of finite arc-transitive bicirculants. We show that every finite arc-transitive bicirculant is a normal -cover of an arc-transitive graph that lies in one of eight infinite families or is one of seven sporadic arc-transitive graphs. Moreover, each of these "basic" graphs is either an arc-transitive bicirculant or an arc-transitive circulant, and each graph in the latter case has an arc-transitive bicirculant normal -cover for some integer .
Cite
@article{arxiv.1904.06467,
title = {Arc-transitive bicirculants},
author = {Alice Devillers and Michael Giudici and Wei Jin},
journal= {arXiv preprint arXiv:1904.06467},
year = {2022}
}