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.
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页数：9
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