Bounds on Van der Waerden Numbers and Some Related Functions

Tom C. Brown, Bruce Landman, Aaron Robertson

Type: Preprint

Publication Date: 2007-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.0706.4420

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Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi
+	New bounds for Szemeredi's theorem, II: A new bound for $r_4(N)$	2006	Ben Green Terence Tao
+	Combinatorial Theorems on Classifications of Subsets of a Given Set	1952	P. Erdős R. Rado
+ PDF Chat	Arithmetic Progressions Contained in Sequences with Bounded Gaps	1980	Melvyn B. Nathanson
+	Primitive recursive bounds for van der Waerden numbers	1988	Saharon Shelah
+	Progressions in Sequences of Nearly Consecutive Integers	1998	Noga Alon Ayal Zaks
+ PDF Chat	A Construction for Partitions Which Avoid Long Arithmetic Progressions	1968	Elwyn R. Berlekamp
+	On a Problem of Formal Logic	1930	Frank Plumpton Ramsey
+	The Ramsey number <i>R</i>(3, <i>t</i>) has order of magnitude <i>t</i><sup>2</sup>/log <i>t</i>	1995	Jeong Han Kim
+	ON THE GROWTH OF A VAN DER WAERDEN-LIKE FUNCTION	2006	Ron Graham