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ON THE DENSITY OF PLANAR SETS WITHOUT UNIT DISTANCES

Ambrus, Gergely and Matolcsi, Máté (2018) ON THE DENSITY OF PLANAR SETS WITHOUT UNIT DISTANCES. Discrete and Computational Geometry. (Submitted)

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Abstract

We improve the upper bound of the density of a planar, measurable set containing no two points at distance 1 to 0:25688 by involving higher order convolutions of the autocorrelation function of the set.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Dr Gergely Ambrus
Date Deposited: 30 Sep 2018 22:01
Last Modified: 30 Sep 2018 22:01
URI: http://real.mtak.hu/id/eprint/86252

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