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A Quasi Ramsey Theorem

In: Ramsey Theory for Discrete Structures

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  • Hans Jürgen Prömel

    (Technische Universität Darmstadt)

Abstract

The basic problem of (combinatorial) discrepancy theory Discrepancy theory Combinatorial discrepancy theory is how to color a set with two colors as uniformly as possible with respect to a given family of subsets. The aim is to achieve that each of the two colors meets each subset under consideration in approximately the same number of elements. From the finite Ramsey theorem (cf. Corollary 7.2) we know already that if the set of all 2-subsets of n is 2-colored, and the family of all ℓ-subsets for some $$\ell

Suggested Citation

  • Hans Jürgen Prömel, 2013. "A Quasi Ramsey Theorem," Springer Books, in: Ramsey Theory for Discrete Structures, edition 127, chapter 0, pages 111-118, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-01315-2_10
    DOI: 10.1007/978-3-319-01315-2_10
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