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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Detalles Bibliográficos
Autor principal: Mansour, Toufik (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Boca Raton, FL : Chapman & Hall/CRC 2012, c2013.
Edición:1st ed
Colección:Discrete Mathematics and Its Applications
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628220406719
Tabla de Contenidos:
  • Front Cover; Contents; Preface; Acknowledgment; Author Biographies; 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; A Solutions and Hints; B Identities; C Power Series and Binomial Theorem; D Chebychev Polynomials of the Second Kind
  • E Linear Algebra and Algebra ReviewF Complex Analysis Review; G Coherent States; H C++ Programming; I Tables; J Notation; Bibliography