English

Cubic edge-transitive bi-Cayley graphs over inner-abelian p-groups

Combinatorics 2017-01-05 v1

Abstract

A graph is said to be a bi-Cayley graph over a group H if it admits H as a group of automorphisms acting semiregularly on its vertices with two orbits. A non-abelian group is called an inner-abelian group if all of its proper subgroups are abelian. In this paper, we complete the classification of connected cubic edge-transitive bi-Cayley graphs over inner-abelian p-groups for an odd prime p.

Keywords

Cite

@article{arxiv.1701.00908,
  title  = {Cubic edge-transitive bi-Cayley graphs over inner-abelian p-groups},
  author = {Yan-Li Qin and Jin-Xin Zhou},
  journal= {arXiv preprint arXiv:1701.00908},
  year   = {2017}
}

Comments

13 pages. arXiv admin note: text overlap with arXiv:1610.07307

R2 v1 2026-06-22T17:40:37.877Z