Harnack inequalities for graphs with non-negative Ricci curvature

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Harnack inequalities for graphs with non-negative Ricci curvature

a r t i c l e i n f o a b s t r a c t Keywords: The Laplace operator for graphs The Harnack inequalities Eigenvalues Diameter 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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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2014

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2014.01.044