Patterns in Permutations and Words

  • Sergey Kitaev

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Sergey Kitaev
    Pages 29-80
  3. Sergey Kitaev
    Pages 81-139
  4. Sergey Kitaev
    Pages 165-221
  5. Sergey Kitaev
    Pages 223-290
  6. Sergey Kitaev
    Pages 291-315
  7. Back Matter
    Pages 387-494

About this book

Introduction

There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations.

The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.

Keywords

algebraic combinatorics combinatorics on words computational biology patterns

Authors and affiliations

  • Sergey Kitaev
    • 1
  1. 1.Department of Computer, and Information SciencesUniversity of StrathclydeGlasgowUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-17333-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-642-17332-5
  • Online ISBN 978-3-642-17333-2
  • Series Print ISSN 1431-2654
  • About this book