Some new van der Waerden numbers

DOI10.1016/0012-365X(79)90090-6zbMath0416.05004OpenAlexW2038121735WikidataQ60015536 ScholiaQ60015536MaRDI QIDQ754205

Patrick E. O'Neil, Michael D. Beeler

Publication date: 1979

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(79)90090-6

zbMATH Keywords

arithmetic progressionpartitions of integersvan der Waerden numberscomputer search algorithm

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Special sequences and polynomials (11B83) Ramsey theory (05D10) Arithmetic progressions (11B25)

Related Items (9)

Values and bounds for Ramsey numbers associated with polynomial iteration ⋮ The 2-color relative linear van der Waerden numbers ⋮ Some results on a class of mixed van der Waerden numbers ⋮ On the existence of a reasonable upper bound for the van der Waerden numbers ⋮ A new lower bound for van der Waerden numbers ⋮ On the van der Waerden numbers \(\mathrm{w}(2; 3, t)\) ⋮ Systems of equations for van der Waerden numbers ⋮ A new van der Waerden number ⋮ A novel SAT solver for the van der Waerden numbers

Cites Work

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• Two combinatorial theorems on arithmetic progressions
• Notes on Number Theory II : On a theorem of van der Waerden
• On Applications of Van Der Waerden's Theorem
• Computer-Generated van der Waerden Partitions
• Some Progression-Free Partitions Constructed using Folkman's Method
• A Construction for Partitions Which Avoid Long Arithmetic Progressions
• Note on Combinatorial Analysis
• Ein kombinatorischer Satz der Elementargeometrie
• Combinatorial Theorems on Classifications of Subsets of a Given Set

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