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arXiv · 2005.04895

A simple and elementary proof of Whitney's unique embedding theorem

Gunnar Brinkmann
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Abstract

In this note we give a short and elementary proof of a more general version of Whitney's theorem that 3-connected planar graphs have a unique embedding in the plane. A consequence of the theorem is that cubic plane graphs cannot be embedded in a higher genus with a simple dual. The aim of this paper is to promote a simple and elementary proof, which is especially well suited for lectures presenting Whitney's theorem.

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Gunnar Brinkmann. 2020-06-03. A simple and elementary proof of Whitney's unique embedding theorem. https://arxiv.org/abs/2005.04895

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