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» Applications of the regularity lemma for uniform hypergraphs
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RSA
2006
113views more  RSA 2006»
13 years 4 months ago
Applications of the regularity lemma for uniform hypergraphs
In this note we discuss several combinatorial problems that can be addressed by the Regularity Method for hypergraphs. Based on recent results of Nagle, Schacht and the authors, we...
Vojtech Rödl, Jozef Skokan
CPC
2006
102views more  CPC 2006»
13 years 4 months ago
Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs
Abstract. The main results of this paper are regularity and counting lemmas for 3uniform hypergraphs. A combination of these two results gives a new proof of a theorem of Frankl an...
W. T. Gowers
CPC
2007
113views more  CPC 2007»
13 years 4 months ago
Regular Partitions of Hypergraphs: Regularity Lemmas
Abstract. Szemer´edi’s regularity lemma for graphs has proved to be a powerful tool with many subsequent applications. The objective of this paper is to extend the techniques de...
Vojtech Rödl, Mathias Schacht
STOC
2009
ACM
152views Algorithms» more  STOC 2009»
13 years 11 months ago
Green's conjecture and testing linear-invariant properties
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
Asaf Shapira