Combinatorics of Permutations
by Miklós Bóna
3rd Edition
Publisher: Chapman and Hall/CRC
Book Details
| Print ISBN | 9781032223506 |
| eText ISBN | 9781000563825 |
| Publisher | Chapman and Hall/CRC |
| Publishing Year | 2022 |
| Edition | 3rd Edition |
| Language | English |
| Pages | 528 |
Combinatorics of Permutations, 3rd Edition, is a mathematics textbook that examines the mathematical theory and practical uses of permutations. Written to support both students and researchers, it provides material suitable for a one-semester course.
While focusing primarily on enumerative combinatorics, the book also explores algebraic, analytic, and topological perspectives. Core coverage includes linear orders, cycle structures, pattern avoidance, and algorithms.
Published in the Discrete Mathematics and Its Applications series, the volume supports independent study by including solutions to odd-numbered exercises alongside a reference list and a compilation of frequently used notation.
Table of Contents
Chapter 1: In One Line and Close: Permutations as Linear Orders
Chapter 2: In One Line and Anywhere: Permutations as Linear Orders- Inversions
Chapter 3: In Many Circles: Permutations as Products of Cycles
Chapter 4: In Any Way but This: Pattern Avoidance—the Basics
Chapter 5: In This Way, but Nicely: Pattern Avoidance-Follow Up
Chapter 6: Mean and Insensitive: Random Permutations
Chapter 7: Permutations and the Rest: Algebraic Combinatorics of Permutations
Chapter 8: Get Them All: Algorithms and Permutations
Chapter 9: How Did We Get Here? Permutations as Genome Rearrangements
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