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Sharp bounds for the signless Laplacian spectral radius in terms of clique number

Authors :
He, Bian
Jin, Ya-Lei
Zhang, Xiao-Dong
Source :
Linear Algebra & its Applications. May2013, Vol. 438 Issue 10, p3851-3861. 11p.
Publication Year :
2013

Abstract

Abstract: In this paper, we present a sharp upper and lower bounds for the signless Laplacian spectral radius of graphs in terms of clique number. Moreover, the extremal graphs which attain the upper and lower bounds are characterized. In addition, these results disprove the two conjectures on the signless Laplacian spectral radius in [8]. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00243795
Volume :
438
Issue :
10
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
86422314
Full Text :
https://doi.org/10.1016/j.laa.2011.10.008