6p阶可解对称图的分类

设ｘ是简单无向图，Ｇ是Ａｕｔ（Ｘ）的一个于群，Ｘ称为Ｇ－对称的，如果Ｇ在ｘ的１－孤（即两相邻顶点构成的有序偶）集合上的作用是传递的；ｘ称为对称图，如果Ｘ是Ａｕｔ（ｘ）－对称的；ｘ称为可解对称的，如果Ａｕｔ（Ｘ）包含可解子群Ｇ，使Ｘ是Ｇ－对称的．本文给出了具有６Ｐ个顶点的可解对称图的一个分类，这里ｐ≥５是素数．

A ClaSSification of Solvable Symmetric Graphs of Order 6p

Let X be a simple undirected graph and G a subgroup of Aut(X).X is said to beG-symmetric if G acts transitively on the set of ordered adjacent pairs of vertices of X.X is said to be symmetric if it is Aut(X)-symmetric. X is said to be solvable symmetricgraph if Aut(x)contains a solvable subgroup G such that X is G-symmetric,In thispaper we give a classification for solvable symmetric graphs of order 6p where p 5 is aprlme.