2p^4阶3次s-正则图的自同构群  

Automorphism Group of Cubic s-Regular Graphs of Order 2p^4

作　　者：陈尚弟[1] 郭艳红[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《中国民航大学学报》2009年第6期51-54,共4页Journal of Civil Aviation University of China

基　　金：国家自然科学基金项目(60776810);天津市自然科学基金项目(08JGYBJG13900);中国民航大学科研基金项目(09CAUC-S02)

摘　　要：为研究正则图的性质和自同构群,运用p4阶群的性质和分类,以及图的传递性和图的覆盖理论,获得了2p4阶3次s-正则图的一些性质,其中p>7,1≤s≤5。证明了这类图是Cayley图,并刻画出了这类图的自同构群。The main aim of the paper is studying the properties and automorphism groups of regular graphs.Using the properties and classification of the groups of order p4,the transitive properties and covering techniques of graphs,we give some properties of the regular connected cubic symmetric graphs of order 2p^4 for each prime p〉7 and each 1≤s≤5.It is proved by us that these graphs are Cayley graphs.The automorphism groups of these graphs are described too.

关 键 词：CAYLEY图 自同构群 正则图 

分 类 号：O152.8[理学—数学]