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
来源：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2024年 / 92卷 / 03期
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
  • [31] Distance signless Laplacian eigenvalues of graphs
    Das, Kinkar Chandra
    Lin, Huiqiu
    Guo, Jiming
    FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (04) : 693 - 713
  • [32] On Complementary Distance Signless Laplacian Spectral Radius and Energy of Graphs
    Ramane, Harishchandra
    Gudodagi, Gouramma
    Manjalapur, Vinayak V.
    Alhevaz, Abdollah
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2019, 14 (02): : 105 - 125
  • [33] ON THE SUM OF SIGNLESS LAPLACIAN SPECTRA OF GRAPHS
    Pirzada, S.
    Ganie, H. A.
    Alghamdi, A. M.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2019, 11 (02) : 407 - 417
  • [34] The Laplacian spread of unicyclic graphs
    Bao, Yan-Hong
    Tan, Ying-Ying
    Fan, Yi-Zheng
    APPLIED MATHEMATICS LETTERS, 2009, 22 (07) : 1011 - 1015
  • [35] Laplacian and signless Laplacian spectral radii of graphs with fixed domination number
    Xing, Rundan
    Zhou, Bo
    MATHEMATISCHE NACHRICHTEN, 2015, 288 (04) : 476 - 480
  • [36] Sharp Bounds on the Signless Laplacian Estrada Index of Graphs
    Gao, Shan
    Liu, Huiqing
    FILOMAT, 2014, 28 (10) : 1983 - 1988
  • [37] On the spectral radius of the adjacency matrix and signless Laplacian matrix of a graph
    Jahanbani, A.
    Sheikholeslami, S. M.
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21) : 6846 - 6851
  • [38] On the spread of the distance signless Laplacian matrix of a graph
    Pirzada, S.
    Haq, Mohd Abrar Ul
    ACTA UNIVERSITATIS SAPIENTIAE INFORMATICA, 2023, 15 (01) : 38 - 45
  • [39] A conjecture on the diameter and signless Laplacian index of graphs
    Liu, Huiqing
    Lu, Mei
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 450 : 158 - 174
  • [40] On the distance signless Laplacian Estrada index of graphs
    Alhevaz, Abdollah
    Baghipur, Maryam
    Ramane, Harishchandra
    Li, Xueliang
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (04)
12345