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
  • [41] ON DISTANCE SIGNLESS LAPLACIAN ESTRADA INDEX AND ENERGY OF GRAPHS
    Alhevaz, Abdollah
    Baghipur, Maryam
    Pirzada, Shariefuddin
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (06): : 837 - 858
  • [42] Relationship Between the Second Largest Adjacency and Signless Laplacian Eigenvalues of Graphs and Properties of Planar Graphs
    Manickam, Machasri
    Desikan, Kalyani
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (04): : 3004 - 3021
  • [43] Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths
    Yue, Junjie
    Zhang, Liping
    Lu, Mei
    FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (03) : 623 - 645
  • [44] On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks
    Liu, Jia-Bao
    Zhao, Jing
    Cai, Zheng-Qun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 540
  • [45] Some Relations Between the Eigenvalues of Adjacency, Laplacian and Signless Laplacian Matrix of a Graph
    Lin, Huiqiu
    Hong, Yuan
    Shu, Jinlong
    GRAPHS AND COMBINATORICS, 2015, 31 (03) : 669 - 677
  • [46] A note about cospectral graphs for the adjacency and normalized Laplacian matrices
    Butler, Steve
    LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (03): : 387 - 390
  • [47] On Zagreb index, signless Laplacian eigenvalues and signless Laplacian energy of a graph
    Pirzada, S.
    Khan, Saleem
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (04):
  • [48] On Distance Signless Laplacian Spectral Radius and Distance Signless Laplacian Energy
    Medina, Luis
    Nina, Hans
    Trigo, Macarena
    MATHEMATICS, 2020, 8 (05)
  • [49] 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
  • [50] Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths
    Junjie Yue
    Liping Zhang
    Mei Lu
    Frontiers of Mathematics in China, 2016, 11 : 623 - 645