广西民族大学学报(自然科学版)2023,Vol.29Issue(4):80-84,94,6.
4p2阶广义四元数群的连通3度Cayley图
Connected 3-valent Cayley Graphs of Generalized Quaternion Groups of Order 4p2
摘要
Abstract
For finite group G,the Cayley graph of group G is constructed in the following way:V(Γ)=G,E(r)={(g,sg)|g∈ G,s ∈ S }.In this paper,we give two classifications for the 3-ary generating subsets of generalized quaternion groups of order 4p2,and concludes through the method of looking up cycles that two isomorphic Cayley graphs are non-normal,while the rest are normal.关键词
广义四元数群/Cayley图/正规性/3度Key words
generalized quaternion group/Cayley graph/normality/3-valent分类
数理科学引用本文复制引用
池建成..4p2阶广义四元数群的连通3度Cayley图[J].广西民族大学学报(自然科学版),2023,29(4):80-84,94,6.基金项目
安徽省教育厅科研重点项目(2023AH051697) (2023AH051697)
安徽三联学院自然科学重点研究项目(KJZD2022001). (KJZD2022001)