Extremal Combinatorics: With Applications in Computer Science

  • Authors:
  • Stasys Jukna

  • Affiliations:
  • -

  • Venue:
  • Extremal Combinatorics: With Applications in Computer Science
  • Year:
  • 2010

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Abstract

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.