Minors of Hermitian (quasi-) Laplacian matrix of a mixed graph

被引:3
|
作者
Sarma, Deepak [1 ]
机构
[1] Tezpur Univ, Dept Math Sci, Tezpur 784028, Assam, India
来源
LINEAR & MULTILINEAR ALGEBRA | 2020年 / 68卷 / 11期
关键词
R; B; Bapat; Mixed graphs; Hermitian adjacency matrix; Hermitian (quasi-) Laplacian matrix;
D O I
10.1080/03081087.2019.1572709
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A mixed graph is obtained from an unoriented graph by orienting a subset of its edges. Yu, Liu and Qu in 2017 have established the expression for the determinant of the Hermitian (quasi-) Laplacian matrix of a mixed graph. Here we find general expressions for all minors of Hermitian (quasi-) Laplacian matrix of a mixed graph.
引用
收藏
页码:2157 / 2169
页数:13
相关论文
共 50 条
  • [1] More on minors of Hermitian (quasi-)Laplacian matrix of the second kind for mixed graphs
    Xiong, Qi
    Tian, Gui-Xian
    Cui, Shu-Yu
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01):
  • [2] Principal minors of Hermitian (quasi-)Laplacian matrix of second kind for mixed graphs
    Xiong, Qi
    Tian, Gui-Xian
    Cui, Shu-Yu
    DISCRETE MATHEMATICS LETTERS, 2023, 11 : 61 - 67
  • [3] More on minors of Hermitian (quasi-)Laplacian matrix of the second kind for mixed graphs
    Qi Xiong
    Gui-Xian Tian
    Shu-Yu Cui
    Computational and Applied Mathematics, 2024, 43
  • [4] Singularity of Hermitian (quasi-)Laplacian matrix of mixed graphs
    Yu, Guihai
    Liu, Xin
    Qu, Hui
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 : 287 - 292
  • [5] On the characteristic polynomial and energy of Hermitian quasi-Laplacian matrix of mixed graphs
    Khan, Mehtab
    Ganie, Abdul Hamid
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (07)
  • [6] Hermitian Laplacian matrix and positive of mixed graphs
    Yu, Guihai
    Qu, Hui
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 : 70 - 76
  • [7] On the spectrum of the quasi-Laplacian matrix of a graph
    Tan Xuezhong
    Liu Bolian
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2006, 34 : 49 - 55
  • [8] On minors of the compound matrix of a Laplacian
    Bapat, R. B.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (11) : 3378 - 3386
  • [9] Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that
    Antoine, Jean-Pierre
    Trapani, Camillo
    NON-HERMITIAN HAMILTONIANS IN QUANTUM PHYSICS, 2016, 184 : 45 - 65
  • [10] A Geometric Property of the Laplacian matrix of a Connected Nonsingular Mixed Graph
    Zhou, Zheng-Da
    Gong, Shi-Cai
    JOURNAL OF CHEMISTRY, 2020, 2020