A condition for non-negative Lin-Lu-Yau curvature
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915141466980352 |
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| author | Hehl, Moritz |
| author_facet | Hehl, Moritz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03896 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A condition for non-negative Lin-Lu-Yau curvature Hehl, Moritz Combinatorics Differential Geometry 05C81, 53C21, 05C75, 68R10 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. |
| title | A condition for non-negative Lin-Lu-Yau curvature |
| topic | Combinatorics Differential Geometry 05C81, 53C21, 05C75, 68R10 |
| url | https://arxiv.org/abs/2502.03896 |