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Sperner Theory

By Engel Konrad, Konrad Engel

Sperner Theory Mathematics

Sperner Theory

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Description
The starting point of this book is Sperner's theorem, which answers the question: What is the maximum possible size of a family of pairwise (with respect to inclusion) subsets of a finite set? This theorem stimulated the development of a fast growing theory dealing with external problems on finite sets and, more generally, on finite partially ordered sets. This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming, linear algebra, Lie-algebra representations and eigenvalue methods, probability theory, and enumerative combinatorics. Researchers and graduate students in discrete mathematics, optimisation, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory.
Product details
Edition:
1
Number of Pages:
432
Release Date:
1997-02-01
Publication Date:
2008-03-25
Publisher:
Cambridge University Press
Languages:
Original: English
ISBN10:
052145206605822765940521516277
ISBN13:
9780521452069
GPSR Manufacturer Reference:
[email protected]
Weight:
810 g
Height:
161 cm
Width:
240 cm
Thickness:
28 cm
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