On existence of a compatible triangulation with the double circle order type

Fuente: arXiv
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Autore principale: Bui, Hong Duc
Natura: Preprint
Pubblicazione: 2025
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author Bui, Hong Duc
author_facet Bui, Hong Duc
contents We show that the "double circle" order type and some of its generalizations have a compatible triangulation with any other order types with the same number of points and number of edges on convex hull, thus proving another special case of the conjecture in Aichholzer (2003).
format Preprint
id arxiv_https___arxiv_org_abs_2508_04602
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On existence of a compatible triangulation with the double circle order type
Bui, Hong Duc
Combinatorics
Computational Geometry
We show that the "double circle" order type and some of its generalizations have a compatible triangulation with any other order types with the same number of points and number of edges on convex hull, thus proving another special case of the conjecture in Aichholzer (2003).
title On existence of a compatible triangulation with the double circle order type
topic Combinatorics
Computational Geometry
url https://arxiv.org/abs/2508.04602