Total curvature of planar graphs with nonnegative combinatorial curvature
Metric Geometry
2017-09-11 v2 Differential Geometry
Abstract
We prove that the total curvature of any planar graph with nonnegative combinatorial curvature is an integral multiple of As a corollary, this answers a question proposed by T. R\'eti.
Keywords
Cite
@article{arxiv.1703.04119,
title = {Total curvature of planar graphs with nonnegative combinatorial curvature},
author = {Bobo Hua and Yanhui Su},
journal= {arXiv preprint arXiv:1703.04119},
year = {2017}
}
Comments
24 pages, 21 figures