中文

具有非负曲率的平面图的全曲率第一间隙

组合数学 2017-09-18 v1

摘要

我们证明,如果一个具有非负组合曲率的平面图的全曲率为正,则其至少为 112\frac{1}{12}。此外,我们对达到该边界的平面图所对应的环境多边形曲面的度量结构进行了分类。

关键词

引用

@article{arxiv.1709.05309,
  title  = {The first gap for total curvatures of planar graphs with nonnegative curvature},
  author = {Bobo Hua and Yanhui Su},
  journal= {arXiv preprint arXiv:1709.05309},
  year   = {2017}
}

备注

Much of this article was previously contained as arXiv:1703.04119v1, which was split into 1703.04119v2 (and any subsequent version) and this present article