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Sperner Theory (Hardcover)
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Sperner Theory (Hardcover)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 12 - 17 working days
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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.
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