Permutation patterns : St Andrews 2007

著者

書誌事項

Permutation patterns : St Andrews 2007

edited by Steve Linton, Nik Ruškuc, Vincent Vatter

（London Mathematical Society lecture note series, 376）

Cambridge University Press, 2010

  • : pbk

大学図書館所蔵 件 / 全41件

この図書・雑誌をさがす

注記

"Fifth Permutation Patterns Conference"--Pref

"Fifth International Conference on Permutation Patterns, held in St Andrews in June 2007"--Backcover

Includes bibliographies

内容説明・目次

内容説明

The study of permutation patterns is a thriving area of combinatorics that relates to many other areas of mathematics, including graph theory, enumerative combinatorics, model theory, the theory of automata and languages, and bioinformatics. Arising from the Fifth International Conference on Permutation Patterns, held in St Andrews in June 2007, this volume contains a mixture of survey and research articles by leading experts, and includes the two invited speakers, Martin Klazar and Mike Atkinson. Together, the collected articles cover all the significant strands of current research: structural methods and simple patterns, generalisations of patterns, various enumerative aspects, machines and networks, packing, and more. Specialists in this area and other researchers in combinatorics and related fields will find much of interest in this book. In addition, the volume provides plenty of material accessible to advanced undergraduates and is a suitable reference for projects and dissertations.

目次

  • Preface
  • 1. Some general results in combinatorial enumeration Martin Klazar
  • 2. A survey of simple permutations Robert Brignall
  • 3. Permuting machines and permutation patterns Mike Atkinson
  • 4. On three different notions of monotone subsequences Miklos Bona
  • 5. A survey on partially ordered patterns Sergey Kitaev
  • 6. Generalized permutation patterns - a short survey Einar Steingrimsson
  • 7. An introduction to structural methods in permutation patterns Michael Albert
  • 8. Combinatorial properties of permutation tableaux Alexander Burstein and Niklas Eriksen
  • 9. Enumeration schemes for words avoiding permutations Lara Pudwell
  • 10. The lexicographic first occurrence of a I-II-III pattern Torey Burton, Anant P. Godbole and Brett M. Kindle
  • 11. Enumeration of partitions by rises, levels and descents Toufik Mansour and Augustine O. Munagi
  • 12. Restricted patience sorting and barred pattern avoidance Alexander Burstein and Isaiah Lankham
  • 13. Permutations with k-regular descent patterns Anthony Mendes, Jeffrey B. Remmel and Amanda Riehl
  • 14. Packing rates of measures and a conjecture for the packing density of 2413 Cathleen Battiste Presutti and Walter Stromquist
  • 15. On the permutational power of token passing networks Michael Albert, Steve Linton and Nik Ruskuc
  • 16. Problems and conjectures.

「Nielsen BookData」 より

関連文献： 1件中  1-1を表示

詳細情報

ページトップへ