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.
@article{560,
title = {2-Arc-Transitive regular covers of K\_{n,n} - nK\_2 with the covering transformation group Z\_p^2},
journal = {ARS MATHEMATICA CONTEMPORANEA},
volume = {12},
year = {2016},
doi = {10.26493/1855-3974.560.5be},
language = {EN},
url = {http://dml.mathdoc.fr/item/560}
}
Xu, Wenqin; Zhu, Yanhong; Du, Shaofei. 2-Arc-Transitive regular covers of K_{n,n} - nK_2 with the covering transformation group Z_p^2. ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016) . doi : 10.26493/1855-3974.560.5be. http://gdmltest.u-ga.fr/item/560/