The number of monochromatic Schur triples
type: Item
instance of: scholarly article
title: The number of monochromatic Schur triples
zbMATH Open document ID: 0945.05062
author: Tomasz Schoen
published in: European Journal of Combinatorics
publication date: 2000-09-27T00:00:00Z
review text: Solving a problem of Graham, Rödl and Ruciński, it is shown that in every 2-coloring of the set \(\{1,\ldots,N\}\) one can find at least \(N^2/22 + O(N)\) monochromatic Schur triples, i.e.~monochromatic solutions of the equation \(x+y=z\). Moreover, based on this result the exact value of the infimum number of Schur triples in any 2-coloring of \(\{1,\ldots,N\}\) can be found.
reviewed by: Kathrin Klamroth
Mathematics Subject Classification ID: 05D10
zbMATH DE Number: 1417662
zbMATH Keywords: Schur triple
zbMATH Keywords: Ramsey theory
MaRDI profile type: Publication
full work available at URL: eujc.1999.0297
OpenAlex ID: W2078923546
cites work: On Schur properties of random subsets of integers
cites work: On Certain Sets of Integers
DOI: 10.1006/EUJC.1999.0297
description: scientific article; zbMATH DE number 1417662