Lower Bounds on van der Waerden Numbers: Randomized- and Deterministic-Constructive
The van der Waerden number W(k,2) is the smallest integer n such that every 2-coloring of 1 to n has a monochromatic arithmetic progression of length k. The existence of such an n for any k is due to van der Waerden but known upper bounds on W(k,2) are enormous. Much effort was put into developing l...
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| Format: | Article |
| Language: | English |
| Published: |
Electronic Journal of Combinatorics,
2014-09-18T15:25:00Z.
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| Subjects: | |
| Online Access: | Get fulltext |