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A note on distinct distance subsets

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Abstract

It is shown that given a set of N points in the plane, sphere or hyperbolic plane, there is a subset of size \({\gtrsim (N/\log N)^{1/3}}\) with all pairwise distances between points distinct.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Berkeley, CA, 94720-3840, USA

    Marcos Charalambides

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  1. Marcos Charalambides
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Correspondence to Marcos Charalambides.

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Charalambides, M. A note on distinct distance subsets. J. Geom. 104, 439–442 (2013). https://doi.org/10.1007/s00022-013-0176-0

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  • DOI: https://doi.org/10.1007/s00022-013-0176-0

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