New suffix array algorithms - linear but not fast?
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In 2003 three (-)(n)-time algorithms were proposed for the construction of a suffix array of a string x = x[1..n] on an indexed alphabet, all of them inspired by the methodology of Farach's (-)(n)- time suffix tree construction algorithm. In the same year a (-)(m)-time algorithm was described for computing all the occurrences of a pattern p = p[1..m] in x, given a suffix array of x and various other (-)(n) - space data structures. We analyze the effectiveness and limitations of these algorithms, especially in terms of execution time, and we discuss strategies for their improvement.
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Franek, F.; Smyth, Bill (2004)Recently, several authors presented linear recursive algorithms for sorting suffixes of a string. All these algorithms employ a similar three-step approach, based on an initial division of the suffixes of x into two sets: ...
Puglisi, Simon; Smyth, William; Turpin, A. (2007)In 1990, Manber and Myers proposed suffix arrays as a space-saving alternative to suffix trees and described the first algorithms for suffix array construction and use. Since that time, and especially in the last few ...
Chen, G.; Puglisi, Simon; Smyth, B. (2008)For 30 years the Lempel-Ziv factorization LZ x of a string x = x[1..n] has been a fundamental data structure of string processing, especially valuable for string compression and for computing all the repetitions (runs) ...