Extremal graph characterization from the
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Kinkar Ch. Das
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Article
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2007
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Elsevier Science
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English
β 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