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4 - Efficient Data Structures

Published online by Cambridge University Press:  10 June 2021

Maxime Crochemore ,
Thierry Lecroq  and
Wojciech Rytter
Maxime Crochemore
Affiliation:
Université Paris-Est
Thierry Lecroq
Affiliation:
University of Rouen Normandy
Wojciech Rytter
Affiliation:
Warsaw University
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Summary

The chapter is about data structures for text indexing. They are used as fundamental tools in a large amount of algorithms, represented by special arrays and trees associated with texts. The main data structures related to text algorithmics are Suffix trees and automata, Suffix arrays as well as dictionaries of basic factors. All represent all factors of a text in a compact way. For special words they are of a very specific form. Many problems in this chapter are related to such structures with emphasis on their applications. Also de Bruijn graphs are shown as tools for creating special non-trivial words: dense and perfect words.

Keywords

Suffix treeSuffix arraySuffix automatonsearch triecommon factorprevious factoravoiding wordsabsent wordcounting factorsfactor equationperfect worddense wordfactor oracle
Type
Chapter
Information
125 Problems in Text Algorithms
with Solutions
 , pp. 111 - 179
Publisher: Cambridge University Press
Print publication year: 2021

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