Sperner theory

Sperner theory

by Engel, Konrad

Type Book
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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, Lie-algebra 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 p…

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Title Statements

  • Full title :Sperner theory / Konrad Engel.

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, Lie-algebra 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.

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Edition Statements

  • Publication Date:1997.

Publication Statements

The Physical Object

  • Description:1 online resource (ix, 417 pages) : : illustrations

Edition Identifiers

  • ISBN:9781107088641, 110708864X
  • oclc:ocn861692664
  • LC Classification:QA171.485
  • Dewey Decimal:511.32

Table of Contents

1. Introduction -- 2. Extremal problems for finite sets -- 3. Profile-polytopes for set families -- 4. The flow-theoretic 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.

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