Combinatorics of Permutations

ISBN-13: 9780367222581 / Angielski / Twarda / 2022 / 508 str.

USA) Bona Gainesville Miklos (University of Florida

Opis

The new edition of this award-winning, graduate textbook is upated throughout. Including mostly enumerative combinatorics,yet there are algebraic, analytic, and topological parts as well, and many applications. The author continues to reveal the usefulness of the subject for both students and researchers.

Spis treści

Foreward
Preface to the First Edition
Preface to the Second Edition
Preface to the Third Edition
Acknowledgements
Introduction: No Way around It.
1.In One Line and Close: Permutations as Linear Orders
2.In One Line and Anywhere: Permutations as Linear Orders- Inversions
3.In Many Circles: Permutations as Products of Cycles
4.In Any Way but This: Pattern Avoidance—the Basics
5.In This Way, but Nicely: Pattern Avoidance-Follow Up
6.Mean and Insensitive: Random Permutations
7.Permutations and the Rest: Algebraic Combinatorics of Permutations
8.Get Them All: Algorithms and Permutations
9.How Did We Get Here? Permutations as Genome Rearrangements
Do Not Look Just Yet: Solutions to Odd-Numbered Exercises
References
List of Frequently Used Notation
Index

O autorze

Miklós Bóna received his Ph.D in mathematics from the Massachusetts Institute of Technology in 1997. Since 1999, he has taught at the University of Florida, where, in 2010, he was inducted into the Academy of Distinguished Teaching Scholars. Professor Bóna has mentored numerous graduate and undergraduate students. He is the author of four books and more than 65 research articles, mostly focusing on enumerative and analytic combinatorics. His book,　Combinatorics of Permutations, won a 2006 Outstanding Title Award from　Choice, the journal of the American Library Association. He is also an editor-in-chief for the Electronic Journal of Combinatorics, and for two book series at CRC Press.