Graphs on surfaces with positive Forman curvature or corner curvature
Combinatorics
2020-02-11 v1 Differential Geometry
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.
Cite
@article{arxiv.2002.03550,
title = {Graphs on surfaces with positive Forman curvature or corner curvature},
author = {Yohji Akama and Bobo Hua and Yanhui Su and Haohang Zhang},
journal= {arXiv preprint arXiv:2002.03550},
year = {2020}
}
Comments
25 pages, 9 figures, 12 tables