Combinatorics Seminar 2017

Speaker: Bobo Hua (华波波), Fudan University

Date: Fri, Apr 28, 2017

Time: 16:30 - 17:30

Venue: Room 3323

Title: Combinatorial curvature for planar graphs


The combinatorial curvature of a planar graph is defined as the generalized Gaussian curvature of its polygonal surface with a piecewise flat metric. We will show that the total curvature of a planar graph with nonnegative combinatorial curvature, whose faces are isometric to Euclidean regular polygons, is an integral multiple of $1/12$, up to a normalization of $2\pi$.

This is joint work with Yanhui Su.