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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2403.04110 |
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| _version_ | 1866918151033192448 |
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| author | Brooks, George Osaye, Fadekemi Schenfisch, Anna Wang, Zhiyu Yu, Jing |
| author_facet | Brooks, George Osaye, Fadekemi Schenfisch, Anna Wang, Zhiyu Yu, Jing |
| contents | In this paper, we show that all simple outerplanar graphs $G$ with minimum degree at least $2$ and positive Lin-Lu-Yau Ricci curvature on every edge have maximum degree at most $9$. Furthermore, if $G$ is maximally outerplanar, then $G$ has at most $10$ vertices. Both upper bounds are sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04110 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Outerplanar graphs with positive Lin-Lu-Yau curvature Brooks, George Osaye, Fadekemi Schenfisch, Anna Wang, Zhiyu Yu, Jing Combinatorics In this paper, we show that all simple outerplanar graphs $G$ with minimum degree at least $2$ and positive Lin-Lu-Yau Ricci curvature on every edge have maximum degree at most $9$. Furthermore, if $G$ is maximally outerplanar, then $G$ has at most $10$ vertices. Both upper bounds are sharp. |
| title | Outerplanar graphs with positive Lin-Lu-Yau curvature |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2403.04110 |