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» A note on regular Ramsey graphs
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CORR
2008
Springer
100views Education» more  CORR 2008»
13 years 7 months ago
A note on regular Ramsey graphs
We prove that there is an absolute constant C > 0 so that for every natural n there exists a trianglefree regular graph with no independent set of size at least C n log n.
Noga Alon, Sonny Ben-Shimon, Michael Krivelevich
EJC
2006
13 years 7 months ago
A note on Ramsey numbers with two parameters
1 The Ramsey number R(G1, G2) is the smallest integer p such that for any graph G on p vertices2 either G contains G1 or G contains G2, where G denotes the complement of G. In this...
Yi Ru Huang, Jian Sheng Yang, Kemin Zhang
TAMC
2010
Springer
14 years 15 days ago
A Note on the Testability of Ramsey's Class
Abstract. In property testing, the goal is to distinguish between objects that satisfy some desirable property and objects that are far from satisfying it, after examining only a s...
Charles Jordan, Thomas Zeugmann
SIAMDM
2008
118views more  SIAMDM 2008»
13 years 7 months ago
Ramsey-Type Problem for an Almost Monochromatic K4
In this short note we prove that there is a constant c such that every k-edge-coloring of the complete graph Kn with n 2ck contains a K4 whose edges receive at most two colors. Th...
Jacob Fox, Benny Sudakov