Hypergraph regularity method

In mathematics, the hypergraph regularity method is a powerful tool in extremal graph theory that refers to the combined application of the hypergraph regularity lemma and the associated counting lemma. ^[1]

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Table of Contents

1. 14 relations: Extremal graph theory, Graph removal lemma, Hypergraph, Hypergraph removal lemma, Journal d'Analyse Mathématique, Journal of Combinatorial Theory, Mathias Schacht, Pseudorandomness, Szemerédi regularity lemma, Szemerédi's theorem, Terence Tao, Timothy Gowers, Vojtěch Rödl, Yoshiharu Kohayakawa.

Extremal graph theory

Extremal graph theory is a branch of combinatorics, itself an area of mathematics, that lies at the intersection of extremal combinatorics and graph theory. Hypergraph regularity method and extremal graph theory are graph theory.

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Graph removal lemma

In graph theory, the graph removal lemma states that when a graph contains few copies of a given subgraph, then all of the copies can be eliminated by removing a small number of edges. Hypergraph regularity method and graph removal lemma are graph theory.

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Hypergraph

In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.

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Hypergraph removal lemma

In graph theory, the hypergraph removal lemma states that when a hypergraph contains few copies of a given sub-hypergraph, then all of the copies can be eliminated by removing a small number of hyperedges. Hypergraph regularity method and hypergraph removal lemma are graph theory.

See Hypergraph regularity method and Hypergraph removal lemma

Journal d'Analyse Mathématique

The Journal d'Analyse Mathématique is a triannual peer-reviewed scientific journal published by Springer Science+Business Media on behalf of Magnes Press (Hebrew University of Jerusalem).

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Journal of Combinatorial Theory

The Journal of Combinatorial Theory, Series A and Series B, are mathematical journals specializing in combinatorics and related areas.

See Hypergraph regularity method and Journal of Combinatorial Theory

Mathias Schacht

Mathias Schacht (born 1977) is a German mathematician who specializes in graph theory.

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Pseudorandomness

A pseudorandom sequence of numbers is one that appears to be statistically random, despite having been produced by a completely deterministic and repeatable process.

See Hypergraph regularity method and Pseudorandomness

Szemerédi regularity lemma

In extremal graph theory, Szemerédi’s regularity lemma states that a graph can be partitioned into a bounded number of parts so that the edges between parts are regular.

See Hypergraph regularity method and Szemerédi regularity lemma

Szemerédi's theorem

In arithmetic combinatorics, Szemerédi's theorem is a result concerning arithmetic progressions in subsets of the integers.

See Hypergraph regularity method and Szemerédi's theorem

Terence Tao

Terence Chi-Shen Tao (born 17 July 1975) is an Australian and American mathematician who is a professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins Chair in the College of Letters and Sciences.

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Timothy Gowers

Sir William Timothy Gowers, (born 20 November 1963) is a British mathematician.

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Vojtěch Rödl

Vojtěch Rödl (born 1 April 1949) is a Czech American mathematician, Samuel Candler Dobbs Professor at Emory University.

See Hypergraph regularity method and Vojtěch Rödl

Yoshiharu Kohayakawa

Yoshiharu Kohayakawa (Japanese: 小早川美晴; born 1963) is a Japanese-Brazilian mathematician working on discrete mathematics and probability theory.

See Hypergraph regularity method and Yoshiharu Kohayakawa

References

[1] https://en.wikipedia.org/wiki/Hypergraph_regularity_method

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