Lower bounds on the (Laplacian) spectral radius of weighted graphs

Lower bounds on the (Laplacian) spectral radius of weighted graphs

The weighted graphs, where the edge weights are positive numbers, are considered. The authors obtain some lower bounds on the spectral radius and the Laplacian spectral radius of weighted graphs, and characterize the graphs for which the bounds are attained. Moreover, some known lower bounds on the...

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Veröffentlicht in:Chinese annals of mathematics. Serie B 2014-08, Vol.35 (4), p.669-678
Hauptverfasser: Yu, Aimei, Lu, Mei
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Applications of Mathematics
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Mathematics and Statistics
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Lu, Mei
description The weighted graphs, where the edge weights are positive numbers, are considered. The authors obtain some lower bounds on the spectral radius and the Laplacian spectral radius of weighted graphs, and characterize the graphs for which the bounds are attained. Moreover, some known lower bounds on the spectral radius and the Laplacian spectral radius of unweighted graphs can be deduced from the bounds.
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subjects Applications of Mathematics
Mathematics
Mathematics and Statistics
title Lower bounds on the (Laplacian) spectral radius of weighted graphs
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