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arXiv · 2502.03896

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

Moritz Hehl
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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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Moritz Hehl. 2025-02-06. A condition for non-negative Lin-Lu-Yau curvature. https://arxiv.org/abs/2502.03896

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