A condition for non-negative Lin-Lu-Yau curvature

Published 6 Feb 2025 in math.CO and math.DG | (2502.03896v1)

Abstract: We investigate the Ollivier-Ricci curvature and its modification introduced by Lin, Lu, and Yau on locally finite graphs. The main contribution of this work is a lower bound on the minimum vertex degree of a graph ensuring non-negative Lin-Lu-Yau curvature. Additionally, we examine the sharpness of this lower bound.

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Authors (1)

Moritz Hehl

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