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...

Full description

Bibliographic Details
Main Authors: Gasarch, William, Haeupler, Bernhard
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Electronic Journal of Combinatorics 2014
Online Access:http://hdl.handle.net/1721.1/89798
https://orcid.org/0000-0003-3381-0459

Similar Items