吉林大学学报（理学版）2026，Vol.64Issue(3)：528-534,7.DOI:10.13413/j.cnki.jdxblxb.2025252
群U6n上Cayley图的完美边态转移
Perfect Edge State Transfer of Cayley Graphs over U6n Groups
摘要
Abstract
Let U6n=<a,b|a2n=b3=1,a-1 ba=b-1>be a finite group,1∉S ⊂ U6n and S=S-1={s-1|s∈S}.By using spectral theory and representation theory of groups,we study the perfect edge state transfer problem of Cayley graphs over U6n groups,and characterize the necessary and sufficient conditions for allowing perfect edge state transfer to occur on Cay(U6n,S).关键词
Cayley图/完美边态转移/图的谱/群的表示Key words
Cayley graph/perfect edge state transfer/spectrum of graph/representation of group分类
数理科学引用本文复制引用
赵旭洋,王维忠..群U6n上Cayley图的完美边态转移[J].吉林大学学报（理学版）,2026,64(3):528-534,7.基金项目
国家自然科学基金(批准号:11961040)和甘肃省自然科学基金(批准号:20JR5RA418). （批准号:11961040）
