On arc-transitive pentavalent graphs of order 2mpn

A graph Gamma is symmetric or arc-transitive if its automorphism group Aut(Gamma) is transitive on the arc set of the graph. Let p be an odd prime. Pentavalent symmetric graphs of order 2p(n) with n >= 2 have been considered by Pan et al. in [Algebra Colloq. 22 (2015) 383-394] and by Feng et al. in [Discrete Math. 339 (2016) 2640-2651]. This paper gives a depiction of pentavalent symmetric graphs of order 2(m)p(n) for any integers m >= 2 and n >= 1. As an application, connected pentavalent symmetric graphs of order 16p, 8p(2) and 8p(3) are classified. (C) 2019 Elsevier Inc. All rights reserved.