The theorems of Green-Stokes,Gauss-Bonnet and Poincare-Hopf in Graph Theory

Details The theorems of Green-Stokes,Gauss-Bonnet and Poincare-Hopf in Graph Theory The theorems of Green-Stokes,Gauss-Bonnet and Poincare-Hopf in Graph Theory

2012-01-29

arxiv.org/abs/1201.6049v1

Mathematics

Differential Geometry

10 pages, 30 figures, pedagogical exposition

Scientific paper

By proving graph theoretical versions of Green-Stokes, Gauss-Bonnet and
Poincare-Hopf, core ideas of undergraduate mathematics can be illustrated in a
simple graph theoretical setting. In this pedagogical exposition we present the
main proofs on a single page and add illustrations. While discrete Stokes is is
old, the other two results for graphs were found only recently.

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