论文标题
具有正曲线曲率或角曲率的表面上的图形图
Graphs on surfaces with positive Forman curvature or corner curvature
论文作者
论文摘要
一方面,我们研究表面上的图类别,满足镶嵌特性,并在每个边缘上具有正式曲率。通过内侧图,我们为班级的有限性提供了新的证明,并提供了完整的分类。另一方面,我们将表面曲率的表面上的图类别分类。
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.