Perfect state transfer;
Multiple state transfer;
Integral graphs;
Oriented circulant graphs;
D O I:
10.1016/j.amc.2023.128391
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
An oriented circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state transfer (MST for short) on integral oriented circulant graphs. Specifically, a characterization of PST and MST on integral oriented circulant graphs is provided. As an application, we also obtain a closed-form expression for the number of integral oriented circulant graphs having PST and MST.
机构:
School of Mathematics, East China University of Science and Technology, Shanghai,200237, ChinaSchool of Mathematics, East China University of Science and Technology, Shanghai,200237, China