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ISBN 10: 1439863334
ISBN 13: 9781439863336
Author: Toufik Mansour
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
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
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Tags: Toufik Mansour, Combinatorics, Partitions
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