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An improved upper bound for the Laplacian spectral radius of graphs

โœ Scribed by Mei Lu; Huiqing Liu; Feng Tian


Book ID
108114167
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
280 KB
Volume
309
Category
Article
ISSN
0012-365X

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We consider weighted graphs, where the edge weights are positive definite matrices. In this paper, we obtain two upper bounds on the spectral radius of the Laplacian matrix of weighted graphs and characterize graphs for which the bounds are attained. Moreover, we show that some known upper bounds on