An upper bound for the minimum diameter of integral point sets
type: Item
instance of: scholarly article
title: An upper bound for the minimum diameter of integral point sets
zbMATH Open document ID: 0784.52020
DOI: 10.1007/BF02189331
author: Heiko Harborth
author: Arnfried Kemnitz
author: Meinhard Möller
published in: Discrete \& Computational Geometry
publication date: 1993-06-16T00:00:00Z
full work available at URL: https://eudml.org/doc/131255
review text: For \(n>d\) there exist \(n\) points in the Euclidean space \(E^ d\) in general position such that all mutual distances are integral. Improving an earlier bound, the authors show that the minimal diameter of such point sets has an upper bound of \(2^{c \log n \log \log n}\).
Mathematics Subject Classification ID: 52C10
Mathematics Subject Classification ID: 51M04
zbMATH DE Number: 203064
zbMATH Keywords: integral point set
zbMATH Keywords: minimal diameter
reviewed by: Wolfgang Weil
MaRDI profile type: Publication
cites work: Unsolved problems in number theory
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cites work: Auf einem Kreis liegende Punktmengen ganzzahliger Entfernungen
description: scientific article; zbMATH DE number 203064