Sharp Upper Bounds for the Laplacian Spectral Radius of Graphs

The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynamical problems associated with the network, from transient stability analysis of power network to distributed control of formations. Let G=(V,E) be a simple connected graph on n vertices and let μ(G) be the lar...

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Bibliographic Details
Main Authors: Houqing Zhou, Youzhuan Xu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/720854