ABSTRACT

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 reference on the results and research activities

chapter 1|30 pages

Introduction

chapter 2|44 pages

Basic Tools of the Book

chapter 3|32 pages

Preliminary Results on Set Partitions

chapter 4|58 pages

Subword Statistics on Set Partitions

chapter 5|58 pages

Nonsubword Statistics on Set Partitions

chapter 6|84 pages

Avoidance of Patterns in Set Partitions

chapter 7|72 pages

Multi Restrictions on Set Partitions

chapter 8|44 pages

Asymptotics and Random Set Partition

chapter 10|34 pages

Set Partitions and Normal Ordering

chapter |28 pages

A Solutions and Hints

part |2 pages

B Identities

chapter C|4 pages

C Power Series and Binomial Theorem

part |2 pages

E Linear Algebra and Algebra Review

chapter |4 pages

F Complex Analysis Review

part |2 pages

G Coherent States

chapter |18 pages

H C++ Programming

chapter I|6 pages

I Tables

chapter |4 pages

J Notation