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2011 A Note on the Normalized Laplacian Spectra
Honghai Li, Jiongsheng Li
Taiwanese J. Math. 15(1): 129-139 (2011). DOI: 10.11650/twjm/1500406165

Abstract

Let $G$ be a connected graph and $\mathcal{L}$ be its normalized Laplacian matrix. Let $\lambda_1$ be the second smallest eigenvalue of $\mathcal{L}$. In this paper we studied the effect on the second smallest normalized Laplacian eigenvalue by grafting some pendant paths.

Citation

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Honghai Li. Jiongsheng Li. "A Note on the Normalized Laplacian Spectra." Taiwanese J. Math. 15 (1) 129 - 139, 2011. https://doi.org/10.11650/twjm/1500406165

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1284.05163
MathSciNet: MR2780275
Digital Object Identifier: 10.11650/twjm/1500406165

Subjects:
Primary: 05C50
Secondary: 15A18‎

Keywords: harmonic eigenfunction , Laplacian , normalized Laplacian , second smallest eigenvalue

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 1 • 2011
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