Ramsey functions related to the van der Waerden numbers

DOI10.1016/0012-365X(92)90120-5zbMath0762.05097MaRDI QIDQ1193448

Bruce M. Landman

Publication date: 27 September 1992

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

zbMATH Keywords

arithmetic progressionvan der Waerden numbersRamsey functions

Mathematics Subject Classification ID

Enumerative combinatorics (05A99) Generalized Ramsey theory (05C55) Ramsey theory (05D10) Arithmetic progressions (11B25)

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, Monochromatic sequences whose gaps belong to {d, 2d, …, md}

Cites Work

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• 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
• Computer-Generated van der Waerden Partitions
• A Short Proof of van der Waerden's Theorem on Arithmetic Progressions
• A Construction for Partitions Which Avoid Long Arithmetic Progressions