Halin graphs with positive Lin-Lu-Yau curvature
Combinatorics
2025-05-08 v1 Differential Geometry
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.
Cite
@article{arxiv.2505.04470,
title = {Halin graphs with positive Lin-Lu-Yau curvature},
author = {Kaizhe Chen and Huiqiu Lin and Shiping Liu and Zhe You},
journal= {arXiv preprint arXiv:2505.04470},
year = {2025}
}