2-Arc-transitive regular covers of complete graphs Having the covering transformation group Zp3

Authors:
Shao-Fei Du;Jin Ho Kwak;Ming-Yao Xu
Affiliations:
Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of China;Combinatorial and Computational Mathematics Center, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea;Laboratory for Mathematics and Applied Mathematics, Institute of Mathematics, Peking University, Beijing 100871, People's Republic of China
Venue:
Journal of Combinatorial Theory Series B
Year:
2005

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Abstract

A family of 2-arc-transitive regular covers of a complete graph is investigated. In this paper, we classify all such covering graphs satisfying the following two properties: (1) the covering transformation group is isomorphic to the elementary abelian p-group Zp3, and (2) the group of fiber-preserving automorphisms acts 2-arc-transitively. As a result, new infinite families of 2-arc-transitive graphs are constructed.