Journal of Jilin University Science Edition ›› 2026, Vol. 64 ›› Issue (3): 528-0534.

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Perfect Edge State Transfer of Cayley Graphs over  U6n Groups

ZHAO Xuyang, WANG Weizhong   

  1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Received:2025-09-10 Online:2026-05-26 Published:2026-05-26

Abstract: Let U6n=〈a,b|a2n=b3=1, a-1ba=b-1 be a finite group. 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).

Key words: Cayley graph, perfect edge state transfer, spectrum of graph, representation of group

CLC Number: 

  • O157.5