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Russian Mathematical Surveys, 2011, Volume 66, Issue 5, Pages 933–1002
DOI: https://doi.org/10.1070/RM2011v066n05ABEH004764 (Mi rm9443) 		 
This article is cited in 39 scientific papers (total in 39 papers)

The Erdős–Hajnal problem of hypergraph colouring, its generalizations, and related problems

A. M. Raigorodskiiab, D. A. Shabanovab

a M. V. Lomonosov Moscow State University
b Moscow Institute of Physics and Technology
English version PDF (1028 kB) Citations (39)
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DOI: https://doi.org/10.1070/RM2011v066n05ABEH004764
Abstract: Extremal problems concerned with hypergraph colouring first arose in connection with classical investigations in the 1920-30s which gave rise to Ramsey theory. Since then, this area has assumed a central position in extremal combinatorics. This survey is devoted to one well-known problem of hypergraph colouring, the Erdős–Hajnal problem, initially posed in 1961. It opened a line of research in hypergraph theory whose methods and results are widely used in various domains of discrete mathematics.
Bibliography: 109 titles.
Keywords: hypergraph, hypergraph colourings, chromatic numbers, extremal set theory.
Received: 01.11.2010
Russian version:
Uspekhi Matematicheskikh Nauk, 2011, Volume 66, Issue 5(401), Pages 109–182
DOI: https://doi.org/10.4213/rm9443
Bibliographic databases:
Document Type: Article
UDC: 519.112.7+519.174+519.179.1
MSC: 05C15, 05C35, 05C65
Language: English
Original paper language: Russian
Citation: A. M. Raigorodskii, D. A. Shabanov, “The Erdős–Hajnal problem of hypergraph colouring, its generalizations, and related problems”, Uspekhi Mat. Nauk, 66:5(401) (2011), 109–182; Russian Math. Surveys, 66:5 (2011), 933–1002
Citation in format AMSBIB
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    • This publication is cited in the following 39 articles:
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