Some Equalities of the Signless Laplacian Spectrums of Graphs

被引:0
|
作者
Zeng Chun-hua [1 ]
机构
[1] Jiangxi Agr Univ, Coll Sci, Nanchang 330045, Peoples R China
关键词
Graph; Signless Laplacian spectrum; Equalities;
D O I
暂无
中图分类号
F [经济];
学科分类号
02 ;
摘要
Let G = (V, E) be a finite graph with n vertexes; the matrix A, D denote the adjacency matrix and the diagonal matrix of a graph G respectively. The matrix D+A is called the signless Laplacian. In this paper, the authors consider three mutually related operations on graphs. These are a unary operation: the complementation of a graph, and two binary operations: the direct sum and the complete product of graphs.
引用
收藏
页码:330 / 333
页数:4
相关论文
共 50 条
  • [21] On Laplacian and Signless Laplacian Estrada Indices of Graphs
    Azami, Shahroud
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2015, 74 (02) : 411 - 418
  • [22] (Signless) Laplacian Borderenergetic Graphs and the Join of Graphs
    Deng, Bo
    Li, Xueliang
    Li, Yalan
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2018, 80 (02) : 449 - 457
  • [23] On the distance signless Laplacian spectral radius and the distance signless Laplacian energy of graphs
    Alhevaz, Abdollah
    Baghipur, Maryam
    Paul, Somnath
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2018, 10 (03)
  • [24] GRAPHS DETERMINED BY THEIR (SIGNLESS) LAPLACIAN SPECTRA
    Liu, Muhuo
    Liu, Bolian
    Wei, Fuyi
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 112 - 124
  • [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] On (distance) signless Laplacian spectra of graphs
    B. R. Rakshith
    Kinkar Chandra Das
    M. A. Sriraj
    Journal of Applied Mathematics and Computing, 2021, 67 : 23 - 40
  • [27] On the (Signless) Laplacian Permanental Polynomials of Graphs
    Shunyi Liu
    Graphs and Combinatorics, 2019, 35 : 787 - 803
  • [28] On the Seidel Laplacian and Seidel Signless Laplacian Polynomials of Graphs
    Ramane, Harishchandra S.
    Ashoka, K.
    Patil, Daneshwari
    Parvathalu, B.
    KYUNGPOOK MATHEMATICAL JOURNAL, 2021, 61 (01): : 155 - 168
  • [29] On the signless Laplacian coefficients of unicyclic graphs
    Li, Hong-Hai
    Tam, Bit-Shun
    Su, Li
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 439 (07) : 2008 - 2028
  • [30] Graphs determined by signless Laplacian spectra
    Abdian, Ali Zeydi
    Behmaram, Afshin
    Fath-Tabar, Gholam Hossein
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2020, 17 (01) : 45 - 50