The Eigenvalues and Laplacian Eigenvalues of A Graph

被引：0

作者：

Wang, Haitang ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Jinan 250023, Peoples R China

来源：

PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2 | 2009年

关键词：

Graph; Adjacency matrix; Laplacian matrix; Eigenvalue; Spectrum;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a simple undirected graph, its Laplacian matrix is L(G) = D(G) - A(G), where D(G) is the diagonal matrix of its vertex degrees and A(G) is its adjacency matrix. In the paper, using some properties of matrix, the eigenvalues and Laplacian eigenvalues of K(s)S(n-s) are studied.

引用

页码：337 / 341

页数：5

共 50 条

[1] On the Laplacian eigenvalues of a graph
Li, JS
Zhang, XD
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 285 (1-3) : 305 - 307
[2] EIGENVALUES OF LAPLACIAN OF A GRAPH
ANDERSON, WM
MORLEY, TD
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A5 - &
[3] On Laplacian eigenvalues of a graph
Zhou, B
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (03): : 181 - 184
[4] On the Laplacian eigenvalues of a graph and Laplacian energy
Pirzada, S.
Ganie, Hilal A.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 486 : 454 - 468
[5] Graph embeddings and Laplacian eigenvalues
Guattery, S
Miller, GL
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2000, 21 (03) : 703 - 723
[6] On the distribution of Laplacian eigenvalues of a graph
Ji Ming Guo
Xiao Li Wu
Jiong Ming Zhang
Kun Fu Fang
Acta Mathematica Sinica, English Series, 2011, 27 : 2259 - 2268
[7] A note on Laplacian graph eigenvalues
Merris, R
LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 285 (1-3) : 33 - 35
[8] On the Distribution of Laplacian Eigenvalues of a Graph
Guo, Ji Ming
Wu, Xiao Li
Zhang, Jiong Ming
Fang, Kun Fu
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (11) : 2259 - 2268
[9] BOUNDS FOR LAPLACIAN GRAPH EIGENVALUES
Maden, A. Dilek
Buyukkose, Serife
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (03): : 529 - 536
[10] On extremal eigenvalues of the graph Laplacian*
Serio, Andrea
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (01)

← 1 2 3 4 5 →