Combinatorics of Set Partitions

Focusing on a very active area of mathematical research in the last decade, this book presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Each chapter gives historical perspectives, contrasts different approaches, and illustrates methods and definitions with worked examples and Maple¿ code. The text also explores research directions and includes end-of-chapter problems that often draw on real-world data. C++ programs and output tables are listed in the appendices and available for download online.