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 › Article › peer-review

4 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
DOIs	https://doi.org/10.1007/s10587-010-0052-0
Publication status	Published - 2010

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Mathematics(all)

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Bounds
Graph
Laplacian spectral radius

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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 = "Bounds, Graph, Laplacian spectral radius",

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).",

year = "2010",

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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).

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

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KW - Graph

KW - Laplacian spectral radius

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The Laplacian spectral radius of graphs

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