摘要
称一个有限简单无向图X是半对称图,如果图X是正则的且边传递但非点传递.主要利用仿射几何构造了一类2p^n阶连通p^3。度的半对称图的无限族,其中p≥n≥8.
A finite simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. In this paper, an infinite family of connected semisymmetric graphs of order 2p^n and valency p^2 is constructed, where p is a prime andp≥n≥8.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第1期234-241,共8页
Mathematics in Practice and Theory
关键词
半对称图
仿射几何
仿射群.
semisymmetric graph
affine geometry
permutation group
