English

Tetravalent vertex-transitive graphs of order $6p$

Group Theory 2022-03-10 v1

Abstract

A graph is vertex-transitive if its automorphism group acts transitively on vertices of the graph. A vertex-transitive graph is a Cayley graph if its automorphism group contains a subgroup acting regularly on its vertices. In this paper, the tetravalent vertex-transitive non-Cayley graphs of order 6p6p are classified for each prime pp.

Keywords

Cite

@article{arxiv.2203.04392,
  title  = {Tetravalent vertex-transitive graphs of order $6p$},
  author = {Majid Arezoomand and Mohsen Ghasemi and Mohammad A. Iranmanesh},
  journal= {arXiv preprint arXiv:2203.04392},
  year   = {2022}
}