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Entropy estimates and volume rigidity for graphs with positive Bakry-Émery curvature
We establish a volume bound for weighted graphs with positive Bakry--Émery curvature through entropy estimates for the heat flow and characterize the equality case. As a consequence, if a connected unweighted graph $G=(V,E)$ satisfies the Bakry--Émery curvature--dimension condition $CD(2,\infty)$ wi
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