Main Eigenvalues of Real Symmetric Matrices with Application to Signed Graphs

被引：9
|
作者：
Stanic, Zoran [1 ]
机构：
[1] Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade 11000, Serbia
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2020年 / 70卷 / 04期
关键词：
main angle; signed graph; adjacency matrix; Laplacian matrix; Gram matrix;
D O I：
10.21136/CMJ.2020.0147-19
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An eigenvalue of a real symmetric matrix is called main if there is an associated eigenvector not orthogonal to the all-1 vector j. Main eigenvalues are frequently considered in the framework of simple undirected graphs. In this study we generalize some results and then apply them to signed graphs.
引用
收藏
页码：1091 / 1102
页数：12
相关论文
共 50 条
  • [31] Signed analogue of line graphs and their smallest eigenvalues
    Gavrilyuk, Alexander L.
    Munemasa, Akihiro
    Sano, Yoshio
    Taniguchi, Tetsuji
    JOURNAL OF GRAPH THEORY, 2021, 98 (02) : 309 - 325
  • [32] Locating eigenvalues of unbalanced unicyclic signed graphs
    Belardo, Francesco
    Brunetti, Maurizio
    Trevisan, Vilmar
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 400
  • [33] Signed graphs and inverses of their incidence matrices
    Alazemi, Abdullah
    Andelic, Milica
    Mallik, Sudipta
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 694 : 78 - 100
  • [34] On sign-symmetric signed graphs
    Ghorbani, Ebrahim
    Haemers, Willem H.
    Maimani, Hamid Reza
    Majd, Leila Parsaei
    ARS MATHEMATICA CONTEMPORANEA, 2020, 19 (01) : 83 - 93
  • [35] On signed graphs with at most two eigenvalues unequal to ±1
    Haemers, Willem H.
    Topcu, Hatice
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 670 : 68 - 77
  • [36] Signed graphs with two eigenvalues and vertex degree five
    Stanic, Zoran
    ARS MATHEMATICA CONTEMPORANEA, 2022, 22 (01) : 1 - 13
  • [37] Bounds on Laplacian eigenvalues related to total and signed domination of graphs
    Shi, Wei
    Kang, Liying
    Wu, Suichao
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (02) : 315 - 325
  • [38] Spherical Two-Distance Sets and Eigenvalues of Signed Graphs
    Zilin Jiang
    Jonathan Tidor
    Yuan Yao
    Shengtong Zhang
    Yufei Zhao
    Combinatorica, 2023, 43 : 203 - 232
  • [39] Bounds on Laplacian eigenvalues related to total and signed domination of graphs
    Wei Shi
    Liying Kang
    Suichao Wu
    Czechoslovak Mathematical Journal, 2010, 60 : 315 - 325
  • [40] Spherical Two-Distance Sets and Eigenvalues of Signed Graphs
    Jiang, Zilin
    Tidor, Jonathan
    Yao, Yuan
    Zhang, Shengtong
    Zhao, Yufei
    COMBINATORICA, 2023, 43 (02) : 203 - 232
12345