An upper bound for higher order eigenvalues of symmetric graphs

Shinichiro KOBAYASHI

doi:10.2969/jmsj/85088508

Abstract

In this paper, we derive an upper bound for higher eigenvalues of the normalized Laplace operator associated with a symmetric finite graph in terms of lower eigenvalues.

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Shinichiro KOBAYASHI. "An upper bound for higher order eigenvalues of symmetric graphs." J. Math. Soc. Japan 73 (4) 1277 - 1287, October, 2021. https://doi.org/10.2969/jmsj/85088508

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Received: 26 June 2020; Published: October, 2021

First available in Project Euclid: 4 August 2021

MathSciNet: MR4329030

zbMATH: 1481.05099

Digital Object Identifier: 10.2969/jmsj/85088508

Subjects:

Primary: 05C50

Secondary: 35P15 , 58C40

Keywords: graph Laplacian , higher-order eigenvalue , Regular graph , symmetric graph

Abstract

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