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Random Structures and Algorithms
Article . 2005 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
DBLP
Article . 2006
Data sources: DBLP
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Applications of the regularity lemma for uniform hypergraphs

Authors: Vojtech Rödl; Jozef Skokan;

Applications of the regularity lemma for uniform hypergraphs

Abstract

AbstractIn this article we discuss several combinatorial problems that can be addressed by the Regularity Method for hypergraphs. Based on the recent results of Nagle, Schacht, and the authors, we give here solutions to these problems.In particular, we prove the following: Let ℱ be a k‐uniform hypergraph on t vertices and suppose an n‐vertex k‐uniform hypergraph ℋ︁ contains only o(nt) copies of ℱ. Then one can delete o(nk) edges of ℋ︁ to make it ℱ‐free.Similar results were recently obtained by W. T. Gowers. © 2005 Wiley Periodicals, Inc. Random Struct. Alg., 2006

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
46
Top 10%
Top 10%
Top 10%
bronze