阶为8p²的7度对称图

On Symmetric Graphs of Order Eight Times a Prime Square and Valency Seven

在本文中,研究了8p2阶的7度对称图,其中p为一个奇素数。证明了自同构群在图的顶点集上拟本原时,存在两个图。当自同构群在图的顶点集上二部拟本原时,不存在图。

In this paper, we study symmetric graphs of valency seven and order 8p2, where p is an odd prime. It is proved that there are two graphs if the automorphism group of those graphs which is quasiprimitive on its vertices set, while it is no graphs exists in the case of the automorphism group is biquasiprimitive on the vertex set.