Quantum state transfer on integral oriented circulant graphs

被引：0
|
作者：
Song, Xingkun [1 ]
机构：
[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 464卷
关键词：
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.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] The least eigenvalues of integral circulant graphs
    Basic, Milan
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2025, 61 (01)
  • [22] On the clique number of integral circulant graphs
    Basic, Milan
    Ilic, Aleksandar
    APPLIED MATHEMATICS LETTERS, 2009, 22 (09) : 1406 - 1411
  • [23] The geometric kernel of integral circulant graphs
    Sander, J. W.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2021, 28 (03):
  • [24] Maximal diameter of integral circulant graphs
    Basic, Milan
    Ilic, Aleksandar
    Stamenkovic, Aleksandar
    INFORMATION AND COMPUTATION, 2024, 301
  • [25] On the automorphism group of integral circulant graphs
    Basic, Milan
    Ilic, Aleksandar
    ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
  • [26] On the chromatic number of integral circulant graphs
    Ilic, Aleksandar
    Basic, Milan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (01) : 144 - 150
  • [27] More circulant graphs exhibiting pretty good state transfer
    Pal, Hiranmoy
    DISCRETE MATHEMATICS, 2018, 341 (04) : 889 - 895
  • [28] Perfect state transfer on oriented graphs
    Godsil, Chris
    Lato, Sabrina
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 604 : 278 - 292
  • [29] Fractional Revival on Integral Mixed Circulant Graphs
    Soni, Rachana
    Choudhary, Neelam
    Singh, Navneet Pratap
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43
  • [30] The maximal energy of classes of integral circulant graphs
    Sander, J. W.
    Sander, T.
    DISCRETE APPLIED MATHEMATICS, 2012, 160 (13-14) : 2015 - 2029
12345