一个图称为点传递图,如果它的全自同构群在它的顶点集合上作用传递.本文证明了一个2p~2(p为素数)阶连通3度点传递图或者是Calyley图,或者同构于广义Petersen图P(p~2,t),这里t~2≡-1(modp~2).
A graph is said to be vertex-transitive, if its automorphism group is transitive on its vertices. In this paper, we prove that a connected cubic vertex-transitive graph of order 2p^2(p a prime) is either a Cayley graph or isomorphic to the generalized Petersen graph P(p^2, t),where t^2 =-1(mod p^2)