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
页数:269
相关论文
共 50 条
  • [1] On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs
    Jog, S. R.
    Kotambari, Raju
    JOURNAL OF MATHEMATICS, 2016, 2016
  • [2] On graphs with adjacency and signless Laplacian matrices eigenvectors entries in {−1,+1}
    Alencar, Jorge
    de Lima, Leonardo
    Linear Algebra and Its Applications, 2021, 614 : 301 - 315
  • [3] On graphs with adjacency and signless Laplacian matrices eigenvectors entries in {-1,+1}
    Alencar, Jorge
    de Lima, Leonardo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 614 : 301 - 315
  • [4] Edge perturbation on graphs with clusters: Adjacency, Laplacian and signless Laplacian eigenvalues
    Cardoso, Domingos M.
    Rojo, Oscar
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 512 : 113 - 128
  • [5] Unifying adjacency, Laplacian, and signless Laplacian theories
    Samanta, Aniruddha
    Deepshikha
    Das, Kinkar Chandra
    ARS MATHEMATICA CONTEMPORANEA, 2024, 24 (04) : 1 - 27
  • [6] On (distance) Laplacian energy and (distance) signless Laplacian energy of graphs
    Das, Kinkar Ch.
    Aouchiche, Mustapha
    Hansen, Pierre
    DISCRETE APPLIED MATHEMATICS, 2018, 243 : 172 - 185
  • [7] Sharp Bounds on the Signless Laplacian Spread of Graphs
    Li, Dong
    Liu, Huiqing
    Zhang, Shunzhe
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (04) : 1011 - 1020
  • [8] Sharp Bounds on the Signless Laplacian Spread of Graphs
    Dong Li
    Huiqing Liu
    Shunzhe Zhang
    Bulletin of the Iranian Mathematical Society, 2019, 45 : 1011 - 1020
  • [9] EDGE BIPARTITENESS AND SIGNLESS LAPLACIAN SPREAD OF GRAPHS
    Fan, Yi-Zheng
    Fallat, Shaun
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2012, 6 (01) : 31 - 45
  • [10] Signless Laplacian energy, distance Laplacian energy and distance signless Laplacian spectrum of unitary addition Cayley graphs
    Naveen, Palanivel
    Chithra, A. V.
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (22): : 7514 - 7535