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一类半对称图的构造
引用本文:王丽.一类半对称图的构造[J].数学的实践与认识,2012,42(1):234-241.
作者姓名:王丽
作者单位:首都师范大学数学科学学院,北京,100048
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.

关 键 词:半对称图  仿射几何  仿射群

The Constructing of Semisymmetric Graphs
WANG Li.The Constructing of Semisymmetric Graphs[J].Mathematics in Practice and Theory,2012,42(1):234-241.
Authors:WANG Li
Institution:WANG Li (School of Mathmatical Sciences,Captital Normal University,Beijing 100048,China)
Abstract: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 and p≥n≥8.
Keywords:semisymmetric graph  affine geometry  permutation group
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