图的Laplace特征值

被引：12

作者：

李炯生

张晓东

潘永亮

机构：

[1] 中国科技大学数学系

[2] 中国科技大学数学系合肥

[3] 安徽

[4] 中国

[5] 合肥

来源：

数学进展 | 2003年 / 02期

关键词：

图; Laplace矩阵; 特征值;

D O I：

暂无

中图分类号：

O157.5 [图论];

学科分类号：

070104 ;

摘要：

简要综述近年来图的Laplace特征值研究的一些进展,并提出若干尚待研究的问题.

引用

页码：157 / 165

页数：9

共 15 条

[1] ON THE κ-th LARGEST EIGENVALUE OF THE LAPLACIAN MATRIX OF A GRAPH [J].

张晓东 ;

李炯生 .

Acta Mathematicae Applicatae Sinica(English Series), 2001, (02) :183-190

[2] 门槛图与度极大图(英文) [J].

李炯生 ;

张晓东 .

数学进展, 2000, (04) :341-344

[3]

Lower bounds for the eigenvalues of Laplacian matrices.[J].Abraham Berman;Xiao-Dong Zhang.Linear Algebra and Its Applications.2000, 1

[4]

An always nontrivial upper bound for Laplacian graph eigenvalues.[J].Oscar Rojo;Ricardo Soto;Héctor Rojo.Linear Algebra and Its Applications.2000, 1

[5]

Generalized matrix tree theorem for mixed graphs.[J].Ravindra B. Bapat;Jerrold W. Grossman;Devadatta M. Kulkarni.Linear and Multilinear Algebra.1999, 4

[6]

Bounds on eigenvalues and chromatic numbers.[J].Dasong Cao.Linear Algebra and Its Applications.1998, 1

[7]

A Cauchy-Khinchin matrix inequality.[J].Edwin R. van Dam.Linear Algebra and Its Applications.1998, 2

[8]

A note on Laplacian graph eigenvalues.[J].Russell Merris.Linear Algebra and Its Applications.1998, 1

[9]

An upper bound on the sum of squares of degrees in a graph.[J].D. de Caen.Discrete Mathematics.1998, 1

[10] A new upper bound for eigenvalues of the Laplacian matrix of a graph [J].

Li, Jiong-Sheng ;

Zhang, Xiao-Dong .

Linear Algebra and Its Applications, 1997, 265 (1-3) :93-100

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