On the existence of a reasonable upper bound for the van der Waerden numbers

DOI10.1016/0097-3165(89)90006-XzbMath0667.10008MaRDI QIDQ1117262

Raymond N. Greenwell, Bruce M. Landman

Publication date: 1989

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

van der Waerden numberp-sequence

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Arithmetic progressions (11B25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

An upper bound for van der Waerden-like numbers using \(k\) colors ⋮ The Ramsey property for collections of sequences not containing all arithmetic progressions ⋮ Collections of sequences having the Ramsey property only for few colours ⋮ Ramsey functions related to the van der Waerden numbers ⋮ Monochromatic sequences whose gaps belong to {d, 2d, …, md} ⋮ Some new bounds and values for van der Waerden-like numbers

Cites Work

• Unnamed Item
• Some new van der Waerden numbers
• Generalized van der Waerden numbers
• Values and bounds for Ramsey numbers associated with polynomial iteration
• Computer-Generated van der Waerden Partitions

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