Name: Acute Sets
Creator: Zakharov, D.
Keywords: Mathematics - Metric Geometry, FOS: Mathematics, Mathematics - Combinatorics, Metric Geometry (math.MG), Combinatorics (math.CO)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Nov 2017Embargo end date: 01 Jan 2017 English Publisher:Springer Science and Business Media LLCJournal:Discrete & Computational Geometry, volume 61, pages 212-217 (issn: 0179-5376, eissn: 1432-0444,

Authors: Zakharov, D.;

doi: 10.1007/s00454-017-9947-y , 10.48550/arxiv.1705.01171 , 10.48550/arxiv.1707.04829

arXiv: http://arxiv.org/abs/1707.04829 , http://arxiv.org/abs/1705.01171

Acute Sets

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Abstract

A set of points in $\mathbb{R}^d$ is acute, if any three points from this set form an acute angle. In this note we construct an acute set in $\mathbb{R}^d$ of size at least $2^{d/2}$.

Keywords

Mathematics - Metric Geometry, FOS: Mathematics, Mathematics - Combinatorics, Metric Geometry (math.MG), Combinatorics (math.CO)

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