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Combinatorics of Finite Sets
Contributor(s): Anderson, Ian (Author)

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 ISBN: 0486422577     ISBN-13: 9780486422572
Publisher: Dover Publications
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Binding Type: Paperback - See All Available Formats & Editions
Published: November 2011
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Annotation: 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.

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Additional Information
BISAC Categories:
- Mathematics | Set Theory
- Mathematics | Combinatorics
- Mathematics | Discrete Mathematics
Dewey: 511.322
LCCN: 2002019228
Series: Dover Books on Mathematics
Physical Information: 0.57" H x 5.38" W x 8.46" L (0.61 lbs) 274 pages
Features: Bibliography, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:
Among other subjects explored are the Clements-Lindstr m extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitmen result concerning k-saturated chain partitions of general partially ordered sets. Includes exercises and solutions.
 
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