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arXiv · 1201.6049

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

Oliver Knill
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Abstract

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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Oliver Knill. 2012-01-29. The theorems of Green-Stokes,Gauss-Bonnet and Poincare-Hopf in Graph Theory. https://arxiv.org/abs/1201.6049

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