Some new bounds and values for van der Waerden-like numbers

DOI10.1007/BF01787579zbMath0731.05006OpenAlexW2076721162MaRDI QIDQ807624

Raymond N. Greenwell, Bruce M. Landman

Publication date: 1990

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01787579

zbMATH Keywords

polynomial iterationarithmetic progressionvan der Waerden number

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Ramsey theory (05D10)

Related Items

An upper bound for van der Waerden-like numbers using \(k\) colors, The Ramsey property for collections of sequences not containing all arithmetic progressions

Cites Work

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• Generalized van der Waerden numbers
• Values and bounds for Ramsey numbers associated with polynomial iteration
• On the existence of a reasonable upper bound for the van der Waerden numbers
• Primitive Recursive Bounds for Van Der Waerden Numbers
• A Short Proof of van der Waerden's Theorem on Arithmetic Progressions
• A Construction for Partitions Which Avoid Long Arithmetic Progressions