Ricci curvature of graphs

Yong Lin; Linyuan Lu; Shing-Tung Yau

doi:10.2748/tmj/1325886283

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Home > Journals > Tohoku Math. J. (2) > Volume 63 > Issue 4 > Article

2011 Ricci curvature of graphs

Yong Lin, Linyuan Lu, Shing-Tung Yau

Tohoku Math. J. (2) 63(4): 605-627 (2011). DOI: 10.2748/tmj/1325886283

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Abstract

We modify the definition of Ricci curvature of Ollivier of Markov chains on graphs to study the properties of the Ricci curvature of general graphs, Cartesian product of graphs, random graphs, and some special class of graphs.