Combinatorics of Finite Sets

ISBN-13: 9780486422572 / Angielski / Miękka / 2011 / 272 str.

Ian Anderson

Opis

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.