Outerplanar graphs with positive Lin-Lu-Yau curvature

Published 6 Mar 2024 in math.CO | (2403.04110v2)

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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