New bounds for the signless Laplacian spread

被引：9

作者：

Andrade, Enide ^{[1
]}

Dahl, Geir ^{[2
]}

Leal, Laura ^{[3
]}

Robbiano, Maria ^{[4
]}

机构：

[1] Univ Aveiro, Dept Matemat, CIDMA Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal

[2] Univ Oslo, Dept Math, POB 1053 Blindern, N-0316 Oslo, Norway

[3] Univ Chile, Dept Ingn Matemat, Fac Ciencias Fis & Matemat, Beauchef 851, Santiago, Chile

[4] Univ Catolica Norte, Dept Matemat, Ave Angamos 0610, Antofagasta, Chile

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2019年 / 566卷

关键词：

Matrix spread; Signless Laplacian spread; Signless Laplacian matrix; ALGEBRAIC CONNECTIVITY; SPECTRAL-RADIUS; GRAPHS; BIPARTITENESS;

D O I：

10.1016/j.laa.2018.12.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be an undirected simple graph. The signless Laplacian spread of G is defined as the maximum distance of pairs of its signless Laplacian eigenvalues. This paper establishes some new bounds, both lower and upper, for the signless Laplacian spread. Several of these bounds depend on invariant parameters of the graph. We also use a minmax principle to find several lower bounds for this spectral invariant. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：98 / 120

页数：23

共 50 条

[41] Sharp Bounds for the Signless Laplacian Spectral Radius of Uniform Hypergraphs
Jun He
Yan-Min Liu
Jun-Kang Tian
Xiang-Hu Liu
Bulletin of the Iranian Mathematical Society, 2019, 45 : 583 - 591
[42] Sharp Bounds for the Signless Laplacian Spectral Radius of Uniform Hypergraphs
He, Jun
Liu, Yan-Min
Tian, Jun-Kang
Liu, Xiang-Hu
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (02) : 583 - 591
[43] ON THE SIGNLESS LAPLACIAN AND NORMALIZED SIGNLESS LAPLACIAN SPREADS OF GRAPHS
Milovanovic, Emina
Altindag, Serife Burcu Bozkurt
Matejic, Marjan
Milovanovic, Igor
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (02) : 499 - 511
[44] On the signless Laplacian and normalized signless Laplacian spreads of graphs
Emina Milovanović
Şerife Burcu Bozkurt Altindağ
Marjan Matejić
Igor Milovanović
Czechoslovak Mathematical Journal, 2023, 73 : 499 - 511
[45] Lower bounds on the Laplacian spread of a graph
Lin, Zhen
Miao, Lianying
ARS COMBINATORIA, 2020, 151 : 221 - 230
[46] Upper bounds on the Laplacian spread of graphs
Andrade, Enide
Gomes, Helena
Robbiano, Maria
Rodriguez, Jonnathan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 492 : 26 - 37
[47] Upper Bounds on the (Signless Laplacian) Spectral Radius of Irregular Weighted Graphs
Shuiqun Xie
Xiaodan Chen
Xiuyu Li
Xiaoqian Liu
Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 2063 - 2080
[48] Sharp upper bounds on the spectral radius of the signless Laplacian matrix of a graph
Maden, A. Dilek
Das, Kinkar Ch.
Cevik, A. Sinan
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) : 5025 - 5032
[49] Sharp upper bounds for the adjacency and the signless Laplacian spectral radius of graphs
Xian-zhang Wu
Jian-ping Liu
Applied Mathematics-A Journal of Chinese Universities, 2019, 34 : 100 - 112
[50] Sharp bounds for the signless Laplacian spectral radius in terms of clique number
He, Bian
Jin, Ya-Lei
Zhang, Xiao-Dong
LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (10) : 3851 - 3861

← 1 2 3 4 5 →