Physical description 
ix, 417 pages : illustrations ; 25 cm. 
Series 
Encyclopedia of mathematics and its applications ; v. 65. 

Encyclopedia of mathematics and its applications ; v. 65.

Bibliography 
Includes bibliographical references (pages 395412) and index. 
Contents 
1. Introduction  2. Extremal problems for finite sets  3. Profilepolytopes for set families  4. The flowtheoretic approach in Sperner theory  5. Matchings, symmetric chain orders, and the partition lattice  6. Algebraic methods in Sperner theory  7. Limit theorems and asymptotic estimates  8. Macaulay posets. 
Summary 
This book presents Sperner theory from a unified point of view, bringing combinatorial techniques together with methods from programming (flow theory and polyhedral combinatorics), from linear algebra (Jordan decompositions, Liealgebra representations and eigenvalue methods), from probability theory (limit theorems), and from enumerative combinatorics (Mobius inversion). Researchers in discrete mathematics, optimization, algebra, probability theory, number theory, and geometry will find many powerful new methods arising from Sperner theory. 
Subject 
Sperner theory.


Partially ordered sets.

ISBN 
0521452066 (hardback) 
