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Sharp upper and lower bounds for the Laplacian spectral radius and the spectral radius of graphs

โœ Scribed by Ji-ming Guo


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
153 KB
Volume
24
Category
Article
ISSN
0168-9673

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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