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.
CITATION STYLE
de Verdière, É. C., Kaluža, V., Paták, P., Patáková, Z., & Tancer, M. (2016). A direct proof of the strong Hanani–Tutte theorem on the projective plane. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9801 LNCS, pp. 454–467). Springer Verlag. https://doi.org/10.1007/978-3-319-50106-2_35
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