The uniformity lemma for hypergraphs (Q1205340)
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scientific article; zbMATH DE number 147130
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The uniformity lemma for hypergraphs |
scientific article; zbMATH DE number 147130 |
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The uniformity lemma for hypergraphs (English)
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1 April 1993
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This is an extension of Szemerédi's theorem called the Uniformity Lemma for Graphs (see \textit{E. Szemerédi} [Problèmes combinatoires et théorie des graphes, Orsay 1976, Colloq. int. CNRS No. 260, 399-401 (1978; Zbl 0413.05055)]) to \(r\)-uniform hypergraphs. Two applications of the result are announced: proof of a conjecture of Erdős concerning Turán-type problem, and giving an alternative condition for quasirandomness.
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uniformity lemma
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Szemerédi's theorem
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hypergraphs
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