# Jewels of Stringology: Text Algorithms

World Scientific, 2003 - Algorithms - 310 pages
The term ?stringology? is a popular nickname for text algorithms, or algorithms on strings. This book deals with the most basic algorithms in the area. Most of them can be viewed as ?algorithmic jewels? and deserve reader-friendly presentation. One of the main aims of the book is to present several of the most celebrated algorithms in a simple way by omitting obscuring details and separating algorithmic structure from combinatorial theoretical background. The book reflects the relationships between applications of text-algorithmic techniques and the classification of algorithms according to the measures of complexity considered. The text can be viewed as a parade of algorithms in which the main purpose is to discuss the foundations of the algorithms and their interconnections. One can partition the algorithmic problems discussed into practical and theoretical problems. Certainly, string matching and data compression are in the former class, while most problems related to symmetries and repetitions in texts are in the latter. However, all the problems are interesting from an algorithmic point of view and enable the reader to appreciate the importance of combinatorics on words as a tool in the design of efficient text algorithms.In most textbooks on algorithms and data structures, the presentation of efficient algorithms on words is quite short as compared to issues in graph theory, sorting, searching, and some other areas. At the same time, there are many presentations of interesting algorithms on words accessible only in journals and in a form directed mainly at specialists. This book fills the gap in the book literature on algorithms on words, and brings together the many results presently dispersed in the masses of journal articles. The presentation is reader-friendly; many examples and about two hundred figures illustrate nicely the behaviour of otherwise very complex algorithms.

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### Contents

 Stringology 1 Basic string searching algorithms 19 Preprocessing for basic searchings 33 Online construction of suffix trees 45 More on suffix trees 59 Subword graphs 69 Text algorithms related to sorting 85 Symmetries and repetitions in texts 111
 Automat atheoretic approach 163 Approximate pattern matching 183 Matching by dueling and sampling 199 Twodimensional pattern matching 209 Twodimensional periodicities 225 Parallel text algorithms 249 Miscellaneous 271 Bibliography 285

 Const antspace searchings 125 Text compression techniques 141