Combinatorics of Finite Sets

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics
Cover of the book Combinatorics of Finite Sets by Ian Anderson, Dover Publications
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Author: Ian Anderson ISBN: 9780486143712
Publisher: Dover Publications Publication: April 30, 2012
Imprint: Dover Publications Language: English
Author: Ian Anderson
ISBN: 9780486143712
Publisher: Dover Publications
Publication: April 30, 2012
Imprint: Dover Publications
Language: English
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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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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