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Combinatorics of set partitions

Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop...

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Bibliographic Details
Main Author: Mansour, Toufik
Format: eBook
Language:English
Published: Boca Raton, FL CRC Press 2013
Series:Discrete mathematics and its applications
Subjects:
Analyse Combinatoire
Combinatorial Analysis / Http://id.loc.gov/authorities/subjects/sh85028802
Combinatorial Analysis / Fast
Partitions (mathematics) / Http://id.loc.gov/authorities/subjects/sh85098392
Partitions (mathematics) / Fast
Partitions (mathématiques)
Online Access:
Collection: O'Reilly - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction
  • 2. Basic tools of the book
  • 3. Preliminary results on set partitions
  • 4. Subword statistics on set partitions
  • 5. Nonsubword statistics on set partitions
  • 6. Avoidance of patterns in set partitions
  • 7. Multi restrictions on set partitions
  • 8. Asymptotics and random set partition
  • 9. Gray codes, loopless algorithms and set partitions
  • 10. Set partitions and normal ordering
  • Includes bibliographical references (pages 547-571)

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