Combinatorics on Words

by M. Lothaire (Editor)

Overview

Combinatorics on words, or finite sequences, is a field that grew from the disparate mathematics branches of group theory and probability. In recent times, it has gained recognition as an independent theory and has found substantial applications in computer science automata theory and linguistics. This volume is the first to present a thorough treatment of this theory and includes discussions of Thue's square free words, Van der Waerden's theorem, and Ramsey's theorem. This volume is an accessible text for undergraduate and graduate level students in mathematics and computer science as well as specialists in all branches of applied mathematics.

Product Details

ISBN-13:	9780521599245
Publisher:	Cambridge University Press
Publication date:	05/29/1997
Series:	Cambridge Mathematical Library
Edition description:	REV
Pages:	260
Product dimensions:	5.94(w) x 8.98(h) x 0.55(d)

Table of Contents

1. Words D. Perrin; 2. Square free words and idempotent semigroups J. Berstel and C. Reutenauer; 3. Van der Waerden's theorem J. E. Pin; 4. Repetitive mappings and morphisms G. Pirillo; 5. Factorizations of free monoids D. Perrin; 6. Subwords J. Sakarovitch and I. Simon; 7. Unavoidable irregularities in words M. P. Schützenberger; 8. The critical factorization theorem Choffrut; 9. Equations in words; 10. Rearrangements of words D. Foata; 11. Words and trees R. Cori.

Editorial Reviews

"[This volume] presents new aspects of combinatorics on words, recently introduced or developed. This book is totally self contained." Mathematical Reviews

From the Publisher