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An upper bound for van der Waerden-like numbers usingkcolors

โœ Scribed by Bruce M. Landman


Book ID
105677737
Publisher
Springer Japan
Year
1993
Tongue
English
Weight
347 KB
Volume
9
Category
Article
ISSN
0911-0119

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A Pseudo Upper Bound for the van der Wae
โœ Tom C. Brown ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 89 KB

For each positive integer n, let the set of all 2-colorings of the interval [1, n]= [1, 2, ..., n] be given the uniform probability distribution, that is, each of the 2 n colorings is assigned probability 2 &n . Let f be any function such that f (k)ร‚log k ร„ as k ร„ . For convenience we assume that f