2-Arc-Transitive regular covers of K_{n,n} - nK_2 with the covering transformation group Z_p^2

Authors

  • Wenqin Xu Capital Normal University, China
  • Yanhong Zhu Capital Normal University, China
  • Shaofei Du Capital Normal University, China

DOI:

https://doi.org/10.26493/1855-3974.560.5be

Keywords:

Arc-transitive graph, covering graph, 2-transitive group

Abstract

In 2014, Xu and Du classified all regular covers of a complete bipartite graph Kn, n minus a matching, denoted by Kn, n − nK2, whose covering transformation group is cyclic and whose fibre-preserving automorphism group acts 2-arc-transitively. In this paper, a further classification is achieved for all the regular covers of Kn, n − nK2, whose covering transformation group is isomorphic to Zp2 with p a prime and whose fibre-preserving automorphism group acts 2-arc-transitively. Actually, there are only few covers with these properties and it is shown that all of them are covers of K4, 4 − 4K2.

Published

2016-01-12

Issue

Section

GEMS 2013