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Title: On the sum of powers of Laplacian eigenvalues of bipartite graphs (English)
Author: Zhou, Bo
Author: Ilić, Aleksandar
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 60
Issue: 4
Year: 2010
Pages: 1161-1169
Summary lang: English
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Category: math
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Summary: For a bipartite graph $G$ and a non-zero real $\alpha $, we give bounds for the sum of the $\alpha $th powers of the Laplacian eigenvalues of $G$ using the sum of the squares of degrees, from which lower and upper bounds for the incidence energy, and lower bounds for the Kirchhoff index and the Laplacian Estrada index are deduced. (English)
Keyword: Laplacian eigenvalues
Keyword: incidence energy
Keyword: Kirchhoff index
Keyword: Laplacian Estrada index
MSC: 05C50
MSC: 05C90
idZBL: Zbl 1224.05333
idMR: MR2738977
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Date available: 2010-11-20T14:04:45Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/140814
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