Unified Hanani-Tutte theorem
| Autor: | Fulek, Radoslav, Kynčl, Jan, Pálvölgyi, Dömötör |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | The Electronic Journal of Combinatorics 24 (2017), Issue 3, P3.18, 8 pp |
| Druh dokumentu: | Working Paper |
| Popis: | We introduce a common generalization of the strong Hanani-Tutte theorem and the weak Hanani-Tutte theorem: if a graph $G$ has a drawing $D$ in the plane where every pair of independent edges crosses an even number of times, then $G$ has a planar drawing preserving the rotation of each vertex whose incident edges cross each other evenly in $D$. The theorem is implicit in the proof of the strong Hanani-Tutte theorem by Pelsmajer, Schaefer and \v{S}tefankovi\v{c}. We give a new, somewhat simpler proof. Comment: 8 pages, 3 figures; minor revision, mostly in the abstract and Section 4 |
| Databáze: | arXiv |
| Externí odkaz: |
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