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

[21] Sharp bounds for the signless Laplacian spectral radius of digraphs
Lang, Weiwei
Wang, Ligong
APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 43 - 49
[22] The Signless Laplacian Spectral Radii and Spread of Bicyclic Graphs
Fengmei SUN
Ligong WANG
Journal of Mathematical Research with Applications, 2014, 34 (02) : 127 - 136
[23] On Zagreb index, signless Laplacian eigenvalues and signless Laplacian energy of a graph
Pirzada, S.
Khan, Saleem
COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (04):
[24] CHROMATIC BOUNDS OF A LINE GRAPH USING SIGNLESS LAPLACIAN VALUES
Mittal, Kajal
Kekre, Pranjali
ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2025, 42 (01): : 55 - 68
[25] Bounds on the entries of the principal eigenvector of the distance signless Laplacian matrix
Das, Kinkar Ch.
da Silva Junior, Celso M.
de Freitas, Maria Aguieiras A.
Del-Vecchio, Renata R.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 483 : 200 - 220
[26] Upper Bounds for the Signless Laplacian Spectral Radius of Graphs on Surfaces
Chen, Xiaodan
Hou, Yaoping
FILOMAT, 2016, 30 (13) : 3473 - 3481
[27] 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
[28] 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
[29] On the Laplacian and Signless Laplacian Characteristic Polynomials of a Digraph
Ganie, Hilal A. A.
Shang, Yilun
SYMMETRY-BASEL, 2023, 15 (01):
[30] The least eigenvalue of the signless Laplacian of the complements of trees
Li, Shuchao
Wang, Shujing
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 2398 - 2405

← 1 2 3 4 5 →