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

Lower bounds on the (Laplacian) spectral radius of weighted graphs
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DOI:
10.1007/s11401-014-0840-1
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发表时间:
2014-07
期刊:
Chinese Annals of Mathematics, Series B
影响因子:
--
通讯作者:
A. Yu;Mei Lu
A. Yu;Mei Lu
中科院分区:
其他
文献类型:
--
作者:
A. Yu;Mei Lu

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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.