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Monochromatic 4-term arithmetic progressions in 2-colorings of Zn

Published:2012-07 Issue:5 Volume:119 Page:1048-1065
ISSN:0097-3165
Container-title:Journal of Combinatorial Theory, Series A
language:en
Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Lu Linyuan,Peng Xing

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference11 articles.

1. Finding patterns avoiding many monochromatic constellations;Butler;Experiment. Math.,2010

2. On monochromatic solutions of equations in groups;Cameron;Rev. Mat. Iberoam.,2007

3. On the number of monochromatic Schur triples;Datskovsky;Adv. in Appl. Math.,2003

4. Quantitative theorems for regular systems of equations;Frankl;J. Combin. Theory Ser. A,1988

5. On the asymptotic minimum number of monochromatic 3-term arithmetic progressions;Parillo;J. Combin. Theory Ser. A,2008

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1. New Ramsey Multiplicity Bounds and Search Heuristics;Foundations of Computational Mathematics;2024-08-26

2. From discrete to continuous: Monochromatic 3-term arithmetic progressions;Mathematics of Computation;2024-05-16

3. Linear configurations containing 4-term arithmetic progressions are uncommon;Journal of Combinatorial Theory, Series A;2023-11

4. Using Ramsey Theory to Measure Unavoidable Spurious Correlations in Big Data;Axioms;2019-03-05

5. Unrolling Residues to Avoid Progressions;Mathematics Magazine;2014-04

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