Eigenvalue comparisons in graph theory
type: Item
instance of: scholarly article
title: Eigenvalue comparisons in graph theory
zbMATH Open document ID: 0877.05036
author: Gregory T. Quenell
published in: Pacific Journal of Mathematics
publication date: 1997-06-23T00:00:00Z
review text: Let \(G\) be a finite graph with minimal degree \(k\), and \(\lambda_1\geq\lambda_2\geq\cdots\geq\lambda_n\) be its spectrum. In this paper, some lower bounds for the first eigenvalues \(\lambda_i\), in terms of \(k\) and the diameter of \(G\), are derived.
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C35
Mathematics Subject Classification ID: 05C05
zbMATH DE Number: 1025794
zbMATH Keywords: spectrum
zbMATH Keywords: bounds
zbMATH Keywords: eigenvalues
reviewed by: Aleksandar Torgašev
MaRDI profile type: Publication
full work available at URL: pjm.1996.176.443
OpenAlex ID: W1488275650
DOI: 10.2140/PJM.1996.176.443
description: scientific article; zbMATH DE number 1025794