Some notes on the spectral perturbations of the signless Laplacian of a graph

被引：1

作者：

Yu Gui-dong ^{[1
]}

Cai Gai-xiang ^{[1
]}

Fan Yi-zheng ^{[2
]}

机构：

[1] Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246011, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2014年 / 29卷 / 02期

基金：

安徽省自然科学基金; 中国国家自然科学基金;

关键词：

Graph; signless Laplacian matrix; spectral perturbation; RADIUS;

D O I：

10.1007/s11766-014-3155-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a simple graph and let Q (G) be the signless Laplacian matrix of G. In this paper we obtain some results on the spectral perturbation of the matrix Q (G) under an edge addition or an edge contraction.

引用

页码：241 / 248

页数：8

共 50 条

[31] THE SUN GRAPH IS DETERMINED BY ITS SIGNLESS LAPLACIAN SPECTRUM
Mirzakhah, M.
Kiani, D.
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 610 - 620
[32] The Signless Laplacian Spectral Radius of Graphs with Given Number of Pendant Vertices
Fan, Yi-Zheng
Yang, Dan
GRAPHS AND COMBINATORICS, 2009, 25 (03) : 291 - 298
[33] TWO SHARP UPPER BOUNDS FOR THE SIGNLESS LAPLACIAN SPECTRAL RADIUS OF GRAPHS
Chen, Ya-Hong
Pan, Rong-Ying
Zhang, Xiao-Dong
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2011, 3 (02) : 185 - 191
[34] The Randic index and signless Laplacian spectral radius of graphs
Ning, Bo
Peng, Xing
DISCRETE MATHEMATICS, 2019, 342 (03) : 643 - 653
[35] The Signless Laplacian Spectral Radius of Graphs with Given Number of Pendant Vertices
Yi-Zheng Fan
Dan Yang
Graphs and Combinatorics, 2009, 25 : 291 - 298
[36] Some graphs determined by their (signless) Laplacian spectra
Liu, Muhuo
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (04) : 1117 - 1134
[37] On the signless Laplacian spectral radius of graphs with cut vertices
Zhu, Bao-Xuan
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (05) : 928 - 933
[38] Some Equalities of the Signless Laplacian Spectrums of Graphs
Zeng Chun-hua
2013 INTERNATIONAL CONFERENCE ON ECONOMIC, BUSINESS MANAGEMENT AND EDUCATION INNOVATION (EBMEI 2013), VOL 17, 2013, 17 : 330 - 333
[39] Some results on signless Laplacian coefficients of graphs
Mirzakhah, Maryam
Kiani, Dariush
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (09) : 2243 - 2251
[40] The signless Laplacian spectral radius of graphs with given diameter
Feng LiHua
Yu GuiHai
UTILITAS MATHEMATICA, 2010, 83 : 265 - 276

← 1 2 3 4 5 →