English

Two-distance transitive normal Cayley graphs

Combinatorics 2021-02-23 v1

Abstract

In this paper, we construct an infinite family of normal Cayley graphs, which are 22-distance-transitive but neither distance-transitive nor 22-arc-transitive. This answers a question raised by Chen, Jin and Li in 2019 and corrects a claim in a literature given by Pan, Huang and Liu in 2015.

Keywords

Cite

@article{arxiv.2102.10747,
  title  = {Two-distance transitive normal Cayley graphs},
  author = {Jun-Jie Huang and Yan-Quan Feng and Jin-Xin Zhou},
  journal= {arXiv preprint arXiv:2102.10747},
  year   = {2021}
}

Comments

9 pages

R2 v1 2026-06-23T23:22:59.682Z