English

A classification of tetravalent edge-transitive metacirculants of odd order

Combinatorics 2016-03-29 v1

Abstract

In this paper a classification of tetravalent edge-transitive metacirculants is given. It is shown that a tetravalent edge-transitive metacirculant Γ\Gamma is a normal graph except for four known graphs. If further, Γ\Gamma is a Cayley graph of a non-abelian metacyclic group, then Γ\Gamma is half-transitive.

Keywords

Cite

@article{arxiv.1603.08400,
  title  = {A classification of tetravalent edge-transitive metacirculants of odd order},
  author = {Shu Jiao Song},
  journal= {arXiv preprint arXiv:1603.08400},
  year   = {2016}
}