The Laplacian spectral radius of graphs

Citation data:

Czechoslovak Mathematical Journal, ISSN: 0011-4642, Vol: 60, Issue: 3, Page: 835-847

Publication Year:
2010
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Repository URL:
https://repository.hkbu.edu.hk/math_ja/30
DOI:
10.1007/s10587-010-0052-0
Author(s):
Li, Jianxi; Shiu, Wai Chee; Chang, An
Publisher(s):
Institute of Mathematics, Czech Academy of Sciences; Akademie věd České republiky, Matematický ústav
Tags:
Mathematics; graph; Laplacian spectral radius; bounds
article description
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. © 2010 Mathematical Institute, Academy of Sciences of Czech Republic.