Combinatorics of Permutations

2. New Auflage 2012
ISBN: 978-1-4398-5051-0
Verlag: Taylor & Francis Inc

Buch, Englisch, 478 Seiten, Format (B × H): 162 mm x 240 mm, Gewicht: 854 g

Reihe: Discrete Mathematics and Its Applications

A Unified Account of Permutations in Modern Combinatorics
A 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefulness of this subject for both students and researchers and is recommended for undergraduate libraries by the MAA.

Expanded Chapters
Much of the book has been significantly revised and extended. This edition includes a new section on alternating permutations and new material on multivariate applications of the exponential formula. It also discusses several important results in pattern avoidance as well as the concept of asymptotically normal distributions.

New Chapter
An entirely new chapter focuses on three sorting algorithms from molecular biology. This emerging area of combinatorics is known for its easily stated and extremely difficult problems, which sometimes can be solved using deep techniques from seemingly remote branches of mathematics.

Additional Exercises and Problems
All chapters in the second edition have more exercises and problems. Exercises are marked according to level of difficulty and many of the problems encompass results from the last eight years.

Zielgruppe

Graduate students and researchers in mathematics, computer science, and statistics.

Autoren/Hrsg.

Bona, Miklos

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

In One Line and Close. Permutations as Linear Orders. In One Line and Anywhere. Permutations as Linear Orders. Inversions. In Many Circles. Permutations as Products of Cycles. In Any Way but This. Pattern Avoidance. The Basics. In This Way but Nicely. Pattern Avoidance. Follow-Up. Mean and Insensitive. Random Permutations. Permutations versus Everything Else. Algebraic Combinatorics of Permutations. Get Them All. Algorithms and Permutations. How Did We Get Here? Permutations as Genome Rearrangements. Solutions to Odd-Numbered Exercises. References. List of Frequently Used Notation. Index.

Über Autor(innen)

Miklós Bóna is a professor of mathematics at the University of Florida, where he is a member of the Academy of Distinguished Teaching Scholars. Dr. Bóna is an editor-in-chief of the Electronic Journal of Combinatorics. He has authored over 50 research articles and three combinatorics textbooks and has guided the research efforts of numerous undergraduate and graduate students in combinatorics. He earned a Ph.D. in mathematics from MIT.