Abstract：In this paper， the perfect edge state transfe on Cayley graph over the dicyclc group T4n＝〈a，b|a2n＝1，an＝b2，b－1ab＝a－1〉 is studied by the representation and character theory of a group. For a symmetric subset S of T4n， it is proved that perfect edge state transfer between any two edges of Cayley graph Cay(T4n，S) does not exist when n is odd， and the conditions for the existence of perfect edge state transfer on the graph are characterized when n is even.
陶亚雯,王维忠. 双循环群上凯莱图的完美边态转移[J]. 华中师范大学学报(自然科学版), 2025, 59(4): 561-567.
TAO Yawen,WANG Weizhong. Cayley graphs of dicyclic groups having perfect edge state transfer. journal1, 2025, 59(4): 561-567.
2025, Vol. 59 
