一类半对称图的构造  

The Constructing of Semisymmetric Graphs

作　　者：王丽[1] 

机构地区：[1]首都师范大学数学科学学院,北京100048

出　　处：《数学的实践与认识》2012年第1期234-241,共8页Mathematics in Practice and Theory

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.

关 键 词：半对称图 仿射几何 仿射群. 

分 类 号：O157.5[理学—数学]