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» A Result in Dual Ramsey Theory
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JCT
2002
52views more  JCT 2002»
13 years 7 months ago
A Result in Dual Ramsey Theory
We present a result which is obtained by combining a result of Carlson with the Finitary Dual Ramsey Theorem of Graham-Rothschild. We start by introducing some notation. We confor...
Lorenz Halbeisen, Pierre Matet
JSYML
2007
51views more  JSYML 2007»
13 years 7 months ago
Some results in polychromatic Ramsey theory
Uri Abraham, James Cummings, Clifford Smyth
AML
2004
52views more  AML 2004»
13 years 7 months ago
Effectiveness for infinite variable words and the Dual Ramsey Theorem
We examine the Dual Ramsey Theorem and two related combinatorial principles VW(k, l) and OVW(k, l) from the perspectives of reverse mathematics and effective mathematics. We give a...
Joseph S. Miller, Reed Solomon
JGT
2010
103views more  JGT 2010»
13 years 6 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino
COMBINATORICS
2004
130views more  COMBINATORICS 2004»
13 years 7 months ago
On-line Ramsey Theory
The Ramsey game we consider in this paper is played on an unbounded set of vertices by two players, called Builder and Painter. In one move Builder introduces a new edge and Paint...
Jaroslaw Grytczuk, Mariusz Haluszczak, Henry A. Ki...