Combinatorics of permutations
著者
書誌事項
Combinatorics of permutations
（Discrete mathematics and its applications / Kenneth H. Rosen, series editor）
CRC Press, c2012
2nd ed
- : hardback
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注記
Includes bibliographical references (p. 435-452) and index
内容説明・目次
内容説明
A Unified Account of Permutations in Modern CombinatoricsA 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 ChaptersMuch 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 ChapterAn 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 ProblemsAll 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.
目次
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.
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