A graph theoretical Gauss-Bonnet-Chern Theorem
Differential Geometry
2011-11-24 v1 Computational Geometry
Discrete Mathematics
Abstract
We prove a discrete Gauss-Bonnet-Chern theorem which states where summing the curvature over all vertices of a finite graph G=(V,E) gives the Euler characteristic of G.
Keywords
Cite
@article{arxiv.1111.5395,
title = {A graph theoretical Gauss-Bonnet-Chern Theorem},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:1111.5395},
year = {2011}
}
Comments
26 pages, 70 figures