立方体Q_3的边传递循环覆盖  

On edge-transitive cyclic coverings of the hypercube Q_3

作　　者：王倩[1] 李佳佳[1] 卢俊[1] 潘江敏[1] 

机构地区：[1]云南大学数学系,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2015年第1期1-4,共4页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11071210)

摘　　要：利用覆盖图的电压赋值理论和有限群论知识,完全确定了立方体Q3的边传递循环覆盖图.此外,证明了这些覆盖图是弧传递的,并得到了覆盖图为2-弧传递的条件.By using voltage assignment theory of coverings and certain knowledge of finite group meory, we determine all edge-transitive cyclic coverings of the hypercube Q3.Moreover,we prove that all such coverings are arc-transitive, and work out the conditions when the coverings are 2-arc-transitive.

关 键 词：正则覆盖 自同构群 电压 提升 

分 类 号：O152[理学—数学]