# Cheeger inequalities for unbounded graph Laplacians

Frank Bauer; Matthias Keller; Radosław K. Wojciechowski

Journal of the European Mathematical Society (2015)

- Volume: 017, Issue: 2, page 259-271
- ISSN: 1435-9855

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topBauer, Frank, Keller, Matthias, and Wojciechowski, Radosław K.. "Cheeger inequalities for unbounded graph Laplacians." Journal of the European Mathematical Society 017.2 (2015): 259-271. <http://eudml.org/doc/277648>.

@article{Bauer2015,

abstract = {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.},

author = {Bauer, Frank, Keller, Matthias, Wojciechowski, Radosław K.},

journal = {Journal of the European Mathematical Society},

keywords = {isoperimetric inequality; intrinsic metric; Schrödinger operators; weighted graphs; curvature; volume growth; isoperimetric inequality; intrinsic metric; Schrödinger operators; weighted graphs; curvature; volume growth},

language = {eng},

number = {2},

pages = {259-271},

publisher = {European Mathematical Society Publishing House},

title = {Cheeger inequalities for unbounded graph Laplacians},

url = {http://eudml.org/doc/277648},

volume = {017},

year = {2015},

}

TY - JOUR

AU - Bauer, Frank

AU - Keller, Matthias

AU - Wojciechowski, Radosław K.

TI - Cheeger inequalities for unbounded graph Laplacians

JO - Journal of the European Mathematical Society

PY - 2015

PB - European Mathematical Society Publishing House

VL - 017

IS - 2

SP - 259

EP - 271

AB - 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.

LA - eng

KW - isoperimetric inequality; intrinsic metric; Schrödinger operators; weighted graphs; curvature; volume growth; isoperimetric inequality; intrinsic metric; Schrödinger operators; weighted graphs; curvature; volume growth

UR - http://eudml.org/doc/277648

ER -

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