Geodesic
2-Arc-Transitive regular covers of K_{n,n} - nK_2 with the covering transformation group Z_p^2
Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 269-280.

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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.
DOI : 10.26493/1855-3974.560.5be
Keywords: Arc-transitive graph, covering graph, 2-transitive group 
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Wenqin Xu; Yanhong Zhu; Shaofei Du. 2-Arc-Transitive regular covers of K_{n,n} - nK_2 with the covering transformation group Z_p^2. Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 269-280. doi : 10.26493/1855-3974.560.5be. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.560.5be/

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