Applied Combinatorics on Words

Applications of combinatorics in bioformatics, text processing, combinatorial enumeration and fractal analysis.

M. Lothaire (Author)

9780521848022, Cambridge University Press

Hardback, published 11 July 2005

628 pages, 50 b/w illus. 3 colour illus.
23.4 x 15.6 x 3.3 cm, 1.05 kg

"It is a good reference book to keep."
Maulik Dave, SIGACT News

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.

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.

Subject Areas: Pattern recognition [UYQP], Combinatorics & graph theory [PBV]