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A retrospective look at the Erdős-DeBruijn theorem

✍ Scribed by R.G. Stanton


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
280 KB
Volume
58
Category
Article
ISSN
0378-3758

No coin nor oath required. For personal study only.

✦ Synopsis


The Erd6s-DeBruijn theorem is set in the context of later developments, and a unified approach is used to produce both later developments and the original result.


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On Four Colored Sets with Nondecreasing
✍ David J. Grynkiewicz πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 197 KB

A set X; with a coloring D: X ! Z m ; is zero-sum if P x2X DðxÞ ¼ 0: Let f ðm; rÞ (let f zs ðm; 2rÞ) be the least N such that for every coloring of 1; . . . ; N with r colors (with elements from r disjoint copies of Z m ) there exist monochromatic (zero-sum) m-element subsets B 1 and B 2 ; not neces