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

Author:

Landman Bruce M.,Greenwell Raymond N.

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference9 articles.

1. Berlekamp, E.R.: A construction for partitions which avoid long arithmetic progressions. Canad. Math. Bull.11, 409–414 (1968)

2. Graham, R.L., Rothschild, B.L.: A short proof of van der Waerden's Theorem on arithmetic progressions. Proc. Amer. Math. Soc.42, 385–386 (1974)

3. Graham, R.L., Rothschild, B.L., Spencer, J.H.: Ramsey Theory. New York: John Wiley and Sons 1980

4. Greenwell, R.N., Landman, B.M.: On the existence of a reasonable upper bound for the van der Waerden numbers. J. Comb. Theory (A), to appear

5. Landman, B.M.: Generalized van der Waerden numbers. Graphs and Combinatorics2, 351–356 (1986)

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3. The Ramsey property for collections of sequences not containing all arithmetic progressions;Graphs and Combinatorics;1996-06

4. Sequences of Integers;Unsolved Problems in Number Theory;1994

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