A relation between the matching number and Laplacian spectrum of a graph

被引：23
|
作者：
Ming, GJ [1 ]
Wang, TS [1 ]
机构：
[1] Univ Petr Shandong, Dept Math, Shandong 257061, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 325卷 / 1-3期
关键词：
maximum matching; matching number; Laplacian spectrum;
D O I：
10.1016/S0024-3795(00)00333-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a graph, its Laplacian matrix is the difference of the diagonal matrix of its vertex degrees and its adjacency matrix. In this paper, we generalize a result in (R. Merris, Port. Math.48 (3) 1991) and obtain the following result: Let G be a graph and M(G) be a maximum matching in G. Then the number of edges in M(G) is a lower bound for the number of Laplacian eigenvalues of G exceeding 2. (C) 2001 Elsevier Science Inc. All rights reserved. AMS classification: 05c50.
引用
收藏
页码：71 / 74
页数：4
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