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arXiv · 2002.03550

Graphs on surfaces with positive Forman curvature or corner curvature

Yohji Akama·Bobo Hua·Yanhui Su·Haohang Zhang
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Abstract

On one hand, we study the class of graphs on surfaces, satisfying tessellation properties, with positive Forman curvature on each edge. Via medial graphs, we provide a new proof for the finiteness of the class, and give a complete classification. On the other hand, we classify the class of graphs on surfaces with positive corner curvature.

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Yohji Akama, Bobo Hua, Yanhui Su, Haohang Zhang. 2020-02-10. Graphs on surfaces with positive Forman curvature or corner curvature. https://arxiv.org/abs/2002.03550

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