In mathematics, the Szemerédi regularity lemma states that every large enough graph can be divided into subsets of about the same size so that the… (More)

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2017

2017

- Jacob Fox, László Miklós Lovász
- Combinatorica
- 2017

Addressing a question of Gowers, we determine the order of the tower height for the partition size in a version of Szemerédi’s… (More)

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2016

2016

- Pandelis Dodos, Vassilis Kanellopoulos, Thodoris Karageorgos
- Electr. J. Comb.
- 2016

We prove a variant of the abstract probabilistic version of Szemerédi’s regularity lemma, due to Tao, which applies to a number… (More)

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2014

2014

- Lalla Mouatadid
- 2014

Szemerédi’s Regularity Lemma is an important result in extremal graph theory. Roughly speaking, the lemma states that every graph… (More)

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2011

2011

- Alexander Scott
- Combinatorics, Probability & Computing
- 2011

Szemerédi’s Regularity Lemma is an important tool for analyzing the structure of dense graphs. There are versions of the… (More)

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Review

2011

Review

2011

- Geon Hyoung Lee
- 2011

This paper reviews the most common approach to the proof of Szemerédi’s regularity lemma, as presented by R. Diestel [1]. 1 We… (More)

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2010

2010

Szemerédi’s Regularity Lemma is one of the few truly universal tools in modern combinatorics, with numerous important… (More)

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Highly Cited

2008

Highly Cited

2008

- Ben Green
- 2008

Szemerédi’s regularity lemma is an important tool in graph theory which has applications throughout combinatorics. In this paper… (More)

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2006

2006

- Terence Tao
- Contributions to Discrete Mathematics
- 2006

Szemerédi’s regularity lemma is a basic tool in graph theory, and also plays an important role in additive combinatorics, most… (More)

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2001

2001

The first half of this paper is mainly expository, and aims at introducing the regularity lemma of Szemerédi. Among others, we… (More)

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Highly Cited

1997

Highly Cited

1997

A remarkable lemma of Szemerédi asserts that, very roughly speaking, any dense graph can be decomposed into a bounded number of… (More)

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