A strange pigeon-hole principle

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12 Scopus citations

Abstract

Using Ramsey theory, we establish the following pigeon-hole type principle: From a large number of random variables (functions, vectors, etc.) one can always select two, X and Y, such that P(X < Y) ∼ 1/2. We apply the principle for a poset problem.

Original languageEnglish (US)
Pages (from-to)107-113
Number of pages7
JournalOrder
Volume7
Issue number2
DOIs
StatePublished - Jun 1 1990

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology
  • Computational Theory and Mathematics

Keywords

  • AMS subject classification (1980): Primary: 06A10, secondary: 05C55
  • Partial order
  • Ramsey theory
  • linear extensions

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