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A Survey of Hypergraph Ramsey Problems

Dhruv Mubayi () and Andrew Suk ()
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Dhruv Mubayi: University of Illinois
Andrew Suk: University of California at San Diego

A chapter in Discrete Mathematics and Applications, 2020, pp 405-428 from Springer

Abstract: Abstract The classical hypergraph Ramsey number r k(s, n) is the minimum N such that for every red-blue coloring of the k-tuples of {1, …, N}, there are s integers such that every k-tuple among them is red, or n integers such that every k-tuple among them is blue. We survey a variety of problems and results in hypergraph Ramsey theory that have grown out of understanding the quantitative aspects of r k(s, n). Our focus is on recent developments and open problems.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-55857-4_16

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DOI: 10.1007/978-3-030-55857-4_16

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