Combinatorics of Finite Sets

Combinatorics of Finite Sets book cover

Combinatorics of Finite Sets

Author(s): Ian Anderson (Author)

  • Publisher: Dover Publications
  • Publication Date: 2 Nov. 2011
  • Language: English
  • Print length: 272 pages
  • ISBN-10: 0486422577
  • ISBN-13: 9780486422572

Book Description

Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth’s theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. “An excellent text for a topics course in discrete mathematics”. – Bulletin of the American Mathematical Society.

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