English

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

Combinatorics 2025-02-07 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.2502.03896,
  title  = {A condition for non-negative Lin-Lu-Yau curvature},
  author = {Moritz Hehl},
  journal= {arXiv preprint arXiv:2502.03896},
  year   = {2025}
}

Comments

10 pages, 0 figures