Cheeger inequalities for unbounded graph Laplacians

Bauer, 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 -