Linear sets with five distinct differences among any four elements
type: Item
instance of: scholarly article
title: Linear sets with five distinct differences among any four elements
zbMATH Open document ID: 0830.05061
published in: Journal of Combinatorial Theory. Series B
publication date: 1995-07-04T00:00:00Z
review text: A Sidon set \(S\) (or a \(B_2\)-sequence) is a set of real numbers such that the sums of pairs of numbers from \(S\) are all distinct. The following generalization is proposed: a finite set of real numbers is a \((4, 5)\)-set if every \(4\)-subset determines at least \(5\) distinct differences of pairs. Lower and upper bounds for the size of such a set are derived under the assumption that the set contains a certain Sidon set.
Mathematics Subject Classification ID: 05D99
Mathematics Subject Classification ID: 05C65
Mathematics Subject Classification ID: 05C35
Mathematics Subject Classification ID: 11B13
Mathematics Subject Classification ID: 11B25
zbMATH DE Number: 767702
zbMATH Keywords: Sidon sequence
zbMATH Keywords: Sidon set
zbMATH Keywords: set of real numbers
zbMATH Keywords: differences
zbMATH Keywords: bounds
author: András Gyárfás
author: Jeno Lehel
reviewed by: Vladimir D. Tonchev
MaRDI profile type: Publication
full work available at URL: jctb.1995.1028
OpenAlex ID: W2078747615
DOI: 10.1006/JCTB.1995.1028
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description: scientific article; zbMATH DE number 767702