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