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Combinatorics of set partitions.

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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
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Language Notes:English.
Published: Boca Raton, FL : CRC Press, ©2013.
Series:Discrete mathematics and its applications.
Subjects:
Combinatorial analysis.
Partitions (Mathematics)
Partitions (Mathématiques)
Analyse combinatoire.
Combinatorial analysis
Electronic books.
Online Access:Connect to the full text of this electronic book
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.