Geodesic
A simple and elementary proof of Whitney's unique embedding theorem
Ars Mathematica Contemporanea, Tome 20 (2021) no. 2, pp. 195-197.

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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 also 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.
DOI : 10.26493/1855-3974.2334.331
Keywords: Polyhedra, graph, embedding 
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Gunnar Brinkmann. A simple and elementary proof of Whitney's unique embedding theorem. Ars Mathematica Contemporanea, Tome 20 (2021) no. 2, pp. 195-197. doi : 10.26493/1855-3974.2334.331. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2334.331/

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