4p^2阶4度半传递图

The Tetravalent Half-transitive of Order 4p^2

如果图X的全自同构群Aut(X)作用在其顶点集V(X)和边集E(X)上都是传递的,但作用在弧集Arc(X)上非传递,则称X是半传递图.研究了4p^2(p>3且p≡-1(mod4))阶4度半传递图,确定了4p^2阶4度半传递图的连通性及其自同构群的阶.

A graph X is said to be a half-transitive graph if its full automorphism group dented by Aut（X） acts transitively on its vertex set and edge set, but not in its arc set. In this paper, we study the tetravalent half-transitive of order 4p^2, where p 〉 3 and p ≡- 1 （rood 4）. we determin the connectivity and the order of automorphism group of tetravalent half-transitive of order 4p^2.