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Synopsis
It is the aim of this book to provide a coherent and up-to-date account of the basic methods and results of the combinatorial study of finite set systems. From its origins in a 1928 theorem of Sperner, this subject has become a lively area of combinatorial research, unified by the gradual discovery of structural insights and widely applicable proof techniques. Much of the material in the book concerns subsets of a set, but there are chapters dealing with more general partially ordered sets: for example, the Clements-Lindstr on extension of the Kruscal-Katona theorem to multisets is discussed, 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 presented. Each chapter ends with a collection of exercises for which outline solutions are provided, and there is an extensive bibliography.
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- PublisherClarendon Press
- Publication date1989
- ISBN 10 0198533799
- ISBN 13 9780198533795
- BindingPaperback
- LanguageEnglish
- Number of pages264
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Combinatorics of Finite Sets
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Oxford University Press, USA, 1989
ISBN 10: 0198533799
ISBN 13: 9780198533795
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Combinatorics of Finite Sets
Published by
Clarendon Press, Oxford, 1989
ISBN 10: 0198533799
ISBN 13: 9780198533795
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Trade Paperback. Condition: Fine. 1st Edition Reprint. 15, 248 pp. Text is clean, tight, bright and unmarked and apparently unused. Glossy off-white cover with turqoise graphic embellishments and black titles is without flaw. This edition is a 1989 reprint of the first, 1987 edition. Seller Inventory # 501046
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Combinatorics of Finite Sets
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Oxford University Press, Oxford UK, 1989
ISBN 10: 0198533799
ISBN 13: 9780198533795
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COMBINATORICS OF FINITE SETS
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Oxford University Press, 1989
ISBN 10: 0198533799
ISBN 13: 9780198533795
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