2-Arc-transitive metacyclic covers of complete graphs
SCIE
SCOPUS
- Title
- 2-Arc-transitive metacyclic covers of complete graphs
- Authors
- Xu, WQ; Du, SF; Kwak, JH; Xu, MY
- Date Issued
- 2015-03
- Publisher
- Academic Press
- 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 Z(d) for an integer d >= 2, metacyclic abelian groups Z(p)(2), or nonmetacyclic abelian groups Z(p)(3) 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. (C) 2014 Elsevier Inc. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/92381
- DOI
- 10.1016/J.JCTB.2014.09.004
- ISSN
- 0095-8956
- Article Type
- Article
- Citation
- Journal of Combinatorial Theory. Series B, vol. 111, page. 54 - 74, 2015-03
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