2017/03/24 by Yang, Da-Wei, Feng, Yan-Quan, Zhou, Jin-Xin
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1703.08316
A regular cover of a connected graph is called \em cyclic or \em dihedral if its transformation group is cyclic or dihedral respectively, and \em arc-transitive (or \em symmetric) if the fibre-preserving automorphism subgroup acts arc-transitively on the regular cover. In this paper, we give a classification of arc-transitive cyclic and dihedral covers of a connected pentavalent symmetric graph of order twice a prime. All those covers are explicitly constructed as Cayley graphs on some groups, and their full automorphism groups are determined.