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Harnack inequalities for graphs with non-negative Ricci curvature
Authors:Fan Chung  Yong Lin  S-T Yau
Institution:1. University of California, San Diego, United States;2. Renmin University of China, China;3. Harvard University, United States
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.
Keywords:The Laplace operator for graphs  The Harnack inequalities  Eigenvalues  Diameter
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