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arXiv 1608.07855cs.CGmath.CO
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A Direct Proof of the Strong Hanani-Tutte Theorem on the Projective Plane

Éric Colin de Verdière, Vojtěch Kaluža, Pavel Paták, Zuzana Patáková, Martin Tancer

英文摘要:

We reprove the strong Hanani-Tutte theorem on the projective plane. In contrast to the previous proof by Pelsmajer, Schaefer and Stasi, our method is constructive and does not rely on the characterization of forbidden minors, which gives hope to extend it to other surfaces. Moreover, our approach can be used to provide an efficient algorithm turning a Hanani-Tutte drawing on the projective plane into an embedding.

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