Combinatorics of Set Partitions

Author:   Toufik Mansour
Publisher:   Taylor & Francis Ltd
ISBN:  

9781032919126


Pages:   616
Publication Date:   14 October 2024
Format:   Paperback
Availability:   In Print   Availability explained
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Combinatorics of Set Partitions


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Full Product Details

Author:   Toufik Mansour
Publisher:   Taylor & Francis Ltd
Imprint:   Chapman & Hall/CRC
Weight:   1.138kg
ISBN:  

9781032919126


ISBN 10:   1032919124
Pages:   616
Publication Date:   14 October 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction. Basic Tools of the Book. Generating Functions. Preliminary Results on Set Partitions. Subword Statistics on Set Partitions. Nonsubword Statistics on Set Partitions. Avoidance of Patterns in Set Partitions. Multi Restrictions on Set Partitions. Asymptotics and Random Set Partition. Gray Codes, Loopless Algorithms and Set Partitions. Set Partitions and Normal Ordering. Appendices. Bibliography. Index.

Reviews

"""Containing 375 references, this book works best as an encyclopedia for researchers working in this topic. But it can also be effectively used by students who are interested in the combinatorics of set partitions and want to get a hand on researching them. … a very useful reference for researchers of the enumerative side of set partitions."" —Acta Sci. Math. (Szeged), 80, 2014 ""… a comprehensive account of the history and current research in the combinatorics of pattern enumeration and pattern avoidance in set partitions. … While it is aimed primarily at advanced undergraduate and graduate students in discrete mathematics with a focus on set partitions, its extensive bibliography, with 375 entries, and the variety of constructions and approaches used in the text make it a valuable reference for researchers in this field."" —Ricardo Mamede, Zentralblatt MATH 1261 ""… a comprehensive account of recent and current research on the pattern-related aspects of set partitions."" —David Callan, Mathematical Reviews, April 2013"


Author Information

Toufik Mansour is a professor in the Department of Mathematics at the University of Haifa. Dr. Mansour has authored/co-authored more than 200 papers and is a reviewer for many journals, including Advances in Applied Mathematics, Discrete Mathematics, Discrete Applied Mathematics, European Journal of Combinatorics, and the Journal of Combinatorial Theory Series A. His research focuses on pattern avoidance in permutations, colored permutations, set partitions, words, and compositions.

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