Crossing lemmas for $k$-systems of arcs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918066934251520 |
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| author | Hubard, Alfredo Parlier, Hugo |
| author_facet | Hubard, Alfredo Parlier, Hugo |
| contents | We show a generalization of the crossing lemma for multi-graphs drawn on orientable surfaces in which pairs of edges are assumed to be drawn by non-homotopic simple arcs which pairwise cross at most $k$ times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15261 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Crossing lemmas for $k$-systems of arcs Hubard, Alfredo Parlier, Hugo Combinatorics Computational Geometry We show a generalization of the crossing lemma for multi-graphs drawn on orientable surfaces in which pairs of edges are assumed to be drawn by non-homotopic simple arcs which pairwise cross at most $k$ times. |
| title | Crossing lemmas for $k$-systems of arcs |
| topic | Combinatorics Computational Geometry |
| url | https://arxiv.org/abs/2403.15261 |