Some results on the signless Laplacians of graphs

被引：11
|
作者：
Wang, Jianfeng [2 ,3 ]
Huang, Qiongxiang [3 ]
An, Xinhui [3 ]
Belardo, Francesco [1 ]
机构：
[1] Univ Messina, Dept Math, I-98166 Messina, Italy
[2] Qinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R China
[3] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 09期
关键词：
Signless Laplacian; Spectrum; Eigenvalues; Coefficients; Limit point; LIMIT POINTS;
D O I：
10.1016/j.aml.2010.04.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give two results concerning the signless Laplacian spectra of simple graphs. Firstly, we give a combinatorial expression for the fourth coefficient of the (signless Laplacian) characteristic polynomial of a graph. Secondly, we consider limit points for the (signless Laplacian) eigenvalues and we prove that each non-negative real number is a limit point for (signless Laplacian) eigenvalue of graphs. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1045 / 1049
页数：5
相关论文
共 50 条
  • [1] Signless Laplacians of finite graphs
    Cvetkovic, Dragos
    Rowlinson, Peter
    Simic, Slobodan K.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 423 (01) : 155 - 171
  • [2] Some results on signless Laplacian coefficients of graphs
    Mirzakhah, Maryam
    Kiani, Dariush
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (09) : 2243 - 2251
  • [3] Moore–Penrose Inverse of the Signless Laplacians of Bipartite Graphs
    Abdullah Alazemi
    Osama Alhalabi
    Milica Anđelić
    Bulletin of the Iranian Mathematical Society, 2023, 49
  • [4] Moore-Penrose Inverse of the Signless Laplacians of Bipartite Graphs
    Alazemi, Abdullah
    Alhalabi, Osama
    Andelic, Milica
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (04)
  • [5] Standard monomials of 1-skeleton ideals of graphs and generalized signless Laplacians
    Kumar, Chanchal
    Lather, Gargi
    Roy, Amit
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 637 : 24 - 48
  • [6] Some results on the distance and distance signless Laplacian spectral radius of graphs and digraphs
    Li, Dan
    Wang, Guoping
    Meng, Jixiang
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 : 218 - 225
  • [7] ON THE LEAST SIGNLESS LAPLACIAN EIGENVALUE OF SOME GRAPHS
    Yu, Guanglong
    Guo, Shuguang
    Xu, Meiling
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2013, 26 : 560 - 573
  • [8] Some graphs determined by their (signless) Laplacian spectra
    Das, K.C. (kinkar@lycos.com), 1600, Elsevier Inc. (449):
  • [9] Some graphs determined by their (signless) Laplacian spectra
    Liu, Muhuo
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (04) : 1117 - 1134
  • [10] Some graphs determined by their (signless) Laplacian spectra
    Liu, Muhuo
    Shan, Haiying
    Das, Kinkar Ch.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 449 : 154 - 165
12345