On the Energy and Spread of the Adjacency, Laplacian and Signless Laplacian Matrices of Graphs

被引:1
|
作者
Das, Kinkar Chandra [1 ]
Ghalavand, Ali [2 ]
Tavakoli, Mostafa [3 ]
机构
[1] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea
[2] Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
[3] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Appl Math, POB 1159, Mashhad 91775, Iran
关键词
UPPER-BOUNDS; SPECTRAL-RADIUS; MAXIMAL ENERGY; EIGENVALUES; TERMS;
D O I
10.46793/match.92-3.545D
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
In this paper, we explore the connection between the energy and spread of the adjacency, Laplacian, and signless Laplacian matrices for graphs. We then introduce new limitations for the energy and spread of these matrices, based on previous research and our findings
引用
收藏
页码:545 / 566
页数:269
相关论文
共 50 条
  • [21] Graphs with maximal signless Laplacian spectral radius
    Chang, Ting-Jung
    Tam, Bit-Shun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (07) : 1708 - 1733
  • [22] Some Relations Between the Eigenvalues of Adjacency, Laplacian and Signless Laplacian Matrix of a Graph
    Huiqiu Lin
    Yuan Hong
    Jinlong Shu
    Graphs and Combinatorics, 2015, 31 : 669 - 677
  • [23] The Signless Laplacian or Adjacency Spectral Radius of Bicyclic Graphs with Given Number of Cut Edges
    Hong, Zhen-Mu
    Fan, Yi-Zheng
    GRAPHS AND COMBINATORICS, 2015, 31 (05) : 1473 - 1485
  • [24] New bounds for the signless Laplacian spread
    Andrade, Enide
    Dahl, Geir
    Leal, Laura
    Robbiano, Maria
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 566 : 98 - 120
  • [25] On the signless Laplacian index and radius of graphs
    Liu, Huiqing
    Lu, Mei
    Zhang, Shunzhe
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 519 : 327 - 342
  • [26] GRAPHS DETERMINED BY THEIR (SIGNLESS) LAPLACIAN SPECTRA
    Liu, Muhuo
    Liu, Bolian
    Wei, Fuyi
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 112 - 124
  • [27] On the Distance Signless Laplacian Spectrum of Graphs
    A. Alhevaz
    M. Baghipur
    E. Hashemi
    H. S. Ramane
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 2603 - 2621
  • [28] The Signless Laplacian or Adjacency Spectral Radius of Bicyclic Graphs with Given Number of Cut Edges
    Zhen-Mu Hong
    Yi-Zheng Fan
    Graphs and Combinatorics, 2015, 31 : 1473 - 1485
  • [29] On the smallest signless Laplacian eigenvalue of graphs
    Oboudi, Mohammad Reza
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 637 : 138 - 156
  • [30] On the Distance Signless Laplacian Spectrum of Graphs
    Alhevaz, A.
    Baghipur, M.
    Hashemi, E.
    Ramane, H. S.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (05) : 2603 - 2621