The Laplacian spectral radius of graphs

Jianxi Li; Wai Chee Shiu; An Chang

doi:10.1007/s10587-010-0052-0

The Laplacian spectral radius of graphs

Jianxi Li^*, Wai Chee Shiu, An Chang

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

6 Citations (Scopus)

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Abstract

The Laplacian spectral radius of a graph is the largest eigenvalue of the associated Laplacian matrix. In this paper, we improve Shi's upper bound for the Laplacian spectral radius of irregular graphs and present some new bounds for the Laplacian spectral radius of some classes of graphs.

Original language	English
Pages (from-to)	835-847
Number of pages	13
Journal	Czechoslovak Mathematical Journal
Volume	60
Issue number	3
Early online date	3 Aug 2010
DOIs	https://doi.org/10.1007/s10587-010-0052-0
Publication status	Published - Sept 2010

Scopus Subject Areas

General Mathematics

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graph
Laplacian spectral radius
bounds

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10.1007/s10587-010-0052-0

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title = "The Laplacian spectral radius of graphs",

abstract = "The Laplacian spectral radius of a graph is the largest eigenvalue of the associated Laplacian matrix. In this paper, we improve Shi's upper bound for the Laplacian spectral radius of irregular graphs and present some new bounds for the Laplacian spectral radius of some classes of graphs.",

keywords = "graph, Laplacian spectral radius, bounds",

author = "Jianxi Li and Shiu, {Wai Chee} and An Chang",

note = "Funding Information: This work was partially supported by Research Grant Council of Hong Kong (GRF), Hong Kong Baptist University (FRG) and the Natural National Science Foundation of China (No. 10871046).",

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AU - Shiu, Wai Chee

AU - Chang, An

N1 - Funding Information: This work was partially supported by Research Grant Council of Hong Kong (GRF), Hong Kong Baptist University (FRG) and the Natural National Science Foundation of China (No. 10871046).

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KW - bounds

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The Laplacian spectral radius of graphs

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