A graph theoretical Gauss-Bonnet-Chern Theorem

Details A graph theoretical Gauss-Bonnet-Chern Theorem A graph theoretical Gauss-Bonnet-Chern Theorem

2011-11-23

arxiv.org/abs/1111.5395v1

Mathematics

Differential Geometry

26 pages, 70 figures

Scientific paper

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.

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