Harnack inequalities for graphs with non-negative Ricci curvature
Combinatorics
2012-07-30 v1 Metric Geometry
Abstract
We establish a Harnack inequality for finite connected graphs with non-negative Ricci curvature. As a consequence, we derive an eigenvalue lower bound, extending previous results for Ricci flat graphs.
Cite
@article{arxiv.1207.6612,
title = {Harnack inequalities for graphs with non-negative Ricci curvature},
author = {Fan Chung and Yong Lin and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1207.6612},
year = {2012}
}