Two extensions of Ramsey’s theorem

Ramsey’s theorem, in the version of Erdos and Szekeres, states that every 2-coloring of the edges of the complete graph on {1,2,…,n} contains a monochromatic clique of order (1/2)logn. In this article, we consider two well-studied extensions of Ramsey’s theorem. Improving a result of Rodl, we show t...

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Bibliographic Details
Main Authors: Conlon, David, Fox, Jacob, Sudakov, Benny
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Duke University Press 2015
Online Access:http://hdl.handle.net/1721.1/92847