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arXiv · 2403.04110

Outerplanar graphs with positive Lin-Lu-Yau curvature

George Brooks·Fadekemi Osaye·Anna Schenfisch·Zhiyu Wang·Jing Yu
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Abstract

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.

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George Brooks, Fadekemi Osaye, Anna Schenfisch, Zhiyu Wang, Jing Yu. 2025-03-06. Outerplanar graphs with positive Lin-Lu-Yau curvature. https://doi.org/10.4310/joc.250923000902

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