Note on integral distances
type: Item
instance of: scholarly article
title: Note on integral distances
zbMATH Open document ID: 1047.52011
published in: Discrete \& Computational Geometry
publication date: 2004-03-07T00:00:00Z
review text: A point set \(S\) is called an integral set if all the distances between the points of \(S\) are integers. (For an overwiew of this topic see -- among other papers -- the article [Integral distances in point sets, Karl der Grosse und sein Nachwirken, Bd. 2, 213--224 (1998; Zbl 0956.52021)] by \textit{H. Harborth}. The author deals with minimum and maximum distances in integral sets. It is shown that any intergral set \(S\) contains many collinear points or the minimum distances should be relatively large if \(| S|\) is large.
reviewed by: Erhard Quaisser
Mathematics Subject Classification ID: 52C10
zbMATH DE Number: 2051398
zbMATH Keywords: integral distances
zbMATH Keywords: integral set
zbMATH Keywords: minimum and maximum distances in integral sets
Wikidata QID: Q57534455
author: József Solymosi
MaRDI profile type: Publication
full work available at URL: s00454-003-0014-7
OpenAlex ID: W2113124893
cites work: Integral distances
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cites work: Every graph is an integral distance graph in the plane
cites work: Elliptic Curves and Rational Distance Sets
DOI: 10.1007/S00454-003-0014-7
description: scientific article; zbMATH DE number 2051398