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arXiv · 2505.04470

Halin graphs with positive Lin-Lu-Yau curvature

Abstract

Halin graphs constitute an interesting class of planar and polyhedral graphs. A generalized Halin graph is obtained by connecting all leaves of a planar embedding of a tree via a cycle. A Halin graph is a generalized Halin graph having no vertex of degree two. We classify all generalized Halin graphs with positive Lin-Lu-Yau curvature.

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Kaizhe Chen, Huiqiu Lin, Shiping Liu, Zhe You. 2025-05-07. Halin graphs with positive Lin-Lu-Yau curvature. https://arxiv.org/abs/2505.04470

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