Combinatorics of Finite Sets (Dover Books on Mathematics)

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Combinatorics of Finite Sets (Dover Books on Mathematics) image
ISBN-10:

0486422577

ISBN-13:

9780486422572

Author(s): Ian Anderson
Released: Nov 02, 2011
Format: Paperback, 272 pages

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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