Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4656764 | Journal of Combinatorial Theory, Series B | 2015 | 21 Pages |
Abstract
Regular covers of complete graphs whose fibre-preserving automorphism groups act 2-arc-transitively are investigated. Such covers have been classified when the covering transformation groups K are cyclic groups ZdZd for an integer d≥2d≥2, metacyclic abelian groups Zp2, or nonmetacyclic abelian groups Zp3 for a prime p (see S.F. Du et al. (1998) [5] for the first two metacyclic group cases and see S.F. Du et al. (2005) [3] for the third nonmetacyclic group case). In this paper, a complete classification is achieved of all such covers when K is any metacyclic group.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Wenqin Xu, Shaofei Du, Jin Ho Kwak, Mingyao Xu,