1 research outputs found
Arc-transitive cyclic and dihedral covers of pentavalent symmetric graphs of order twice a prime
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