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arxiv: 2409.13666 · v1 · pith:ABDVSHQE · submitted 2024-09-20 · math.CO

On the size of outerplanar graphs with positive Lin-Lu-Yau Ricci curvature

Xiaonan Liu , Linyuan Lu , Zhiyu Wang This is my paper

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classification math.CO
keywords curvaturelin-lu-yauouterplanarpositivearxivboundbrooksdegree
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In this paper, extending a result of Brooks et.al. [arXiv:2403.04110], we show that if an outerplanar graph $G$ with minimum degree at least $2$ has positive Lin-Lu-Yau curvature on every vertex pair, then $G$ has at most $10$ vertices, and this upper bound is sharp.

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