Mansour, Toufik
Combinatorics of Set Partitions
- ISBN 13:
- 9781032919126
- author:
- Mansour, Toufik
- format:
- Paperback
- publisher:
- Chapman & Hall/CRC
- language:
- English
- Publication Year:
- 2024
- Pages:
- 616
- Dimensions:
- 23.4 x 15.6 centimetres (0.45 kg
- Genre:
- Science, Mathematics, General,
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. This comprehensive reference covers over 500 years of research, from its origins in the 16th century to the latest developments.
The book provides a detailed exploration of different approaches, including generating functions, kernel method, block decomposition method, generating tree, and Wilf equivalences. It also delves into historical perspectives and contrasts various methods, with worked examples and Maple code to illustrate key concepts. End-of-chapter problems are often based on published papers and the author's extensive research in this field.
Research directions that extend the results discussed are also explored, along with C++ programs and output tables listed in the appendices for further reference. This book is an invaluable resource for students and researchers in discrete mathematics seeking a one-stop reference on set partitions.
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