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

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 amo...

Full description

Bibliographic Details
Main Authors: Haizhou Song, Qiufen Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/524162