Read e-book online Sperner Theory (Encyclopedia of Mathematics and its PDF

By Konrad Engel

ISBN-10: 0521452066

ISBN-13: 9780521452069

the start line of this ebook is Sperner's theorem, which solutions the query: what's the greatest attainable dimension of a relations of pairwise (with recognize to inclusion) subsets of a finite set? This theorem encouraged the improvement of a quick becoming idea facing exterior difficulties on finite units and, extra ordinarily, on finite partly ordered units. This ebook offers Sperner concept from a unified standpoint, bringing combinatorial options including tools from programming, linear algebra, Lie-algebra representations and eigenvalue equipment, chance concept, and enumerative combinatorics. Researchers and graduate scholars in discrete arithmetic, optimisation, algebra, chance idea, quantity conception, and geometry will locate many robust new equipment bobbing up from Sperner theory.

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Sperner Theory (Encyclopedia of Mathematics and its Applications) by Konrad Engel

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