Properties and Applications of the Eigenvector Corresponding to the Laplacian Spectral Radius of a Graph

被引：1

作者：

Song, Haizhou ^{[1
]}

Wang, Qiufen ^{[1
]}

机构：

[1] Huaqiao Univ, Coll Math Sci, Quanzhou 362021, Fujian, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷

关键词：

EIGENVALUE; MATRICES; TREES;

D O I：

10.1155/2013/524162

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the properties of the eigenvector corresponding to the Laplacian spectral radius of a graph and show some applications. We obtain some results on the Laplacian spectral radius of a graph by grafting and adding edges. We also determine the structure of the maximal Laplacian spectrum tree among trees with n vertices and k pendant vertices (n, k fixed), and the upper bound of the Laplacian spectral radius of some trees.

引用

页数：9

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