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A new upper bound for the Laplacian spectral radius of graphs

โœ Scribed by Ji-Ming Guo


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
172 KB
Volume
400
Category
Article
ISSN
0024-3795

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โœ Kinkar Ch. Das ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 214 KB

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