河南科技大学学报（自然科学版）2025，Vol.46Issue(1)：88-93,6.DOI:10.15926/j.cnki.issn1672-6871.2025.01.011
奇素数与平方因子乘积群的4度Cayley图的正规性
Tetravalent Normality Cayley Graphs over Groups of Odd Primes and Square Factor Products
摘要
Abstract
A Cayley graph X:=Cay(G,S)on Grelative to S(S ⊆ G\{1})is called normal if the right regular representation of the group G is normal in the full automorphism group Aut(X)of X.The full automorphism group of a graph is an important index to describe the symmetry of a graph.Cayley graph,as a highly symmetrical graph.The normality of Cayley graph can reflect the full automorphism group of the graph well,so as to describe the symmetry of the graph.In this paper,we determine the normality of connected tetravalent Cayley graphs of order pq2,where p,q are prime and p>q>5.关键词
有限群/非交换群/Cayley图/正规性Key words
finite group/non abelian group/Cayley graph/normality分类
数理科学引用本文复制引用
王丽,林丽青..奇素数与平方因子乘积群的4度Cayley图的正规性[J].河南科技大学学报（自然科学版）,2025,46(1):88-93,6.基金项目
国家自然科学基金项目(12126317) （12126317）
河南理工大学骨干教师项目(2023XQG-11) （2023XQG-11）
河南理工大学基本科研业务费专项项目(自然科学类)(NSFRF240316) （自然科学类）
