Cheeger inequalities for unbounded graph Laplacians
type: Item
instance of: scholarly article
title: Cheeger inequalities for unbounded graph Laplacians
zbMATH Open document ID: 1309.05059
DOI: 10.4171/JEMS/503
author: Frank Bauer
author: Matthias Keller
author: Radosław K. Wojciechowski
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2015-03-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1209.4911
review text: Summary: We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of the spectrum which is nontrivial even if the vertex degrees are unbounded.
Mathematics Subject Classification ID: 05C12
Mathematics Subject Classification ID: 05C22
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 47B39
Mathematics Subject Classification ID: 05C63
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 52C99
zbMATH DE Number: 6420153
zbMATH Keywords: isoperimetric inequality
zbMATH Keywords: intrinsic metric
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: weighted graphs
zbMATH Keywords: curvature
zbMATH Keywords: volume growth
MaRDI profile type: Publication
arXiv ID: 1209.4911
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description: scientific article