Discrete subsets of R^2 and the associated distance sets

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Abstract

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We prove that a well-distributed subset of R^2 can have a separated distance set only if the distance is induced by a polygon.
6 pages

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Combinatorics, Metric Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/63581

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203162
 http://arxiv.org/abs/math/0203162

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arXiv