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Applied Combinatorics on Words
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Details

  • 50 b/w illus. 3 colour illus.
  • Page extent: 628 pages
  • Size: 234 x 156 mm
  • Weight: 1.05 kg

Library of Congress

  • Dewey number: 511/.6
  • Dewey version: 22
  • LC Classification: QA164 .L66 2005
  • LC Subject headings:
    • Combinatorial analysis
    • Word problems (Mathematics)

Library of Congress Record

Hardback

 (ISBN-13: 9780521848022 | ISBN-10: 0521848024)

A series of important applications of combinatorics on words has emerged with the development of computerized text and string processing. The aim of this volume, the third in a trilogy, is to present a unified treatment of some of the major fields of applications. After an introduction that sets the scene and gathers together the basic facts, there follow chapters in which applications are considered in detail. The areas covered include core algorithms for text processing, natural language processing, speech processing, bioinformatics, and areas of applied mathematics such as combinatorial enumeration and fractal analysis. No special prerequisites are needed, and no familiarity with the application areas or with the material covered by the previous volumes is required. The breadth of application, combined with the inclusion of problems and algorithms and a complete bibliography will make this book ideal for graduate students and professionals in mathematics, computer science, biology and linguistics.

• Includes a detailed presentation of algorithms • No special prerequisites are needed, and no familiarity with the application areas or with the material covered by the previous volumes is required • The third book in the Lothaire trilogy, following the volumes Combinatorics on Words and Algebraic Combinatorics on Words

Contents

Preface; 1. Algorithms on words Jean Berstel and Dominique Perrin; 2. Structures for indexes Maxime Crochemore; 3. Symbolic natural language processing Eric Laporte; 4. Statistical natural language processing Mehryar Mohri; 5. Inference of network expressions Nadia Pisanti and Marie-France Sagot; 6. Statistics on words with applications to biological sequences Gesine Reinert, Sophie Schbath and Michael Waterman; 7. Analytic approach to pattern matching Philippe Jacquet and Wojciech Szpankowski; 8. Periodic structures on words Roman Kolpakov and Gregory Koucherov; 9. Counting, coding and sampling with words Dominique Poulalhon and Gilles Schaeffer; 10. Words in number theory Jean-Paul Allouche and Valérie Berthé; References; General index.

Contributors

Jean Berstel, Dominique Perrin, Maxime Crochemore, Eric Laporte, Mehryar Mohri, Nadia Pisanti, Marie-France Sagot, Gesine Reinert, Sophie Schbath, Michael Waterman, Philippe Jacquet, Wojciech Szpankowski, Roman Kolpakov, Gregory Koucherov, Dominique Poulalhon, Gilles Schaeffer, Jean-Paul Allouche, Valérie Berthé

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