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Discrete & Computational Geometry

, Volume 30, Issue 2, pp 337–342 | Cite as

Note on Integral Distances

  • József SolymosiEmail author
Article

Abstract

A planar point set S is called an integral set if all the distances between the elements of S are integers. We prove that any integral set contains many collinear points or the minimum distance should be relatively large if |S| is large.

Keywords

Minimum Distance Collinear Point Planar Point Integral Distance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  1. 1.Department of Mathematics, University of California, San Diego, La Jolla, CA 92093-0112USA

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