广义四元数群上正规弧传递凯莱图  

Normal arc-transitive Cayley graphs on generalized quaternion groups

作　　者：甯鸿琳 潘江敏 NING Hong-lin;PAN Jiang-min(School of Statistics and Mathematics,Yunnan University of Finance and Economics,Kunming 650221,Yunnan,China)

机构地区：[1]云南财经大学统计与数学学院,云南昆明650221

出　　处：《云南大学学报（自然科学版）》2022年第2期230-236,共7页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11961076)。

摘　　要：研究了广义四元数群上正规弧传递凯莱图,通过对这些图的正规商图的研究,刻画了这些图的度数,完全分类了4倍素数阶2倍素数度的情形,并得到了广义四元数群上凯莱图的一些性质.We study normal arc-transitive Cayley graphs on generalized quaternion groups.By studying normal quotient graphs,we characterize the valency of these graphs and classify such graphs for the case that the order is four times a prime and the valency is twice a prime.Moreover,some properties of Cayley graphs on generalized quaternion groups are proved.

关 键 词：广义四元数群 凯莱图 弧传递图 

分 类 号：O152.1[理学—数学] O157.5[理学—基础数学]