Flips in Two-dimensional Hypertriangulations
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866916970500194304 |
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| author | Edelsbrunner, Herbert Garber, Alexey Ghafari, Mohadese Heiss, Teresa Saghafian, Morteza |
| author_facet | Edelsbrunner, Herbert Garber, Alexey Ghafari, Mohadese Heiss, Teresa Saghafian, Morteza |
| contents | We study flips in hypertriangulations of planar points sets. Here a level-$k$ hypertriangulation of $n$ points in the planes is a subdivision induced by the projection of a $k$-hypersimplex, which is the convex hull of the barycenters of the $(k-1)$-dimensional faces of the standard $(n-1)$-simplex. In particular, we introduce four types of flips and prove that the level-2 hypertriangulations are connected by these flips. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11380 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Flips in Two-dimensional Hypertriangulations Edelsbrunner, Herbert Garber, Alexey Ghafari, Mohadese Heiss, Teresa Saghafian, Morteza Combinatorics Metric Geometry We study flips in hypertriangulations of planar points sets. Here a level-$k$ hypertriangulation of $n$ points in the planes is a subdivision induced by the projection of a $k$-hypersimplex, which is the convex hull of the barycenters of the $(k-1)$-dimensional faces of the standard $(n-1)$-simplex. In particular, we introduce four types of flips and prove that the level-2 hypertriangulations are connected by these flips. |
| title | Flips in Two-dimensional Hypertriangulations |
| topic | Combinatorics Metric Geometry |
| url | https://arxiv.org/abs/2212.11380 |