TY - CHAP

T1 - Swap and mismatch edit distance

AU - Amir, Amihood

AU - Eisenberg, Estrella

AU - Porat, Ely

PY - 2004

Y1 - 2004

N2 - There is no known algorithm that solves the general case of approximate string matching problem with the extended edit distance, where the edit operations are: insertion, deletion, mismatch, and swap, in time o(nm), where n is the length of the text and m is the length of the pattern. In the effort to study this problem, the edit operations where analysed independently. It turns out that the approximate matching problem with only the mismatch operation can be solved in time O(n√mlogm). If the only edit operation allowed is the swap, then the problem can be solved in time O (n log m log σ), where σ = min(m, |Σ|). In this paper we show that the approximate string matching problem with the swap and mismatch as the edit operations, can be computed in time O(n√m log m).

AB - There is no known algorithm that solves the general case of approximate string matching problem with the extended edit distance, where the edit operations are: insertion, deletion, mismatch, and swap, in time o(nm), where n is the length of the text and m is the length of the pattern. In the effort to study this problem, the edit operations where analysed independently. It turns out that the approximate matching problem with only the mismatch operation can be solved in time O(n√mlogm). If the only edit operation allowed is the swap, then the problem can be solved in time O (n log m log σ), where σ = min(m, |Σ|). In this paper we show that the approximate string matching problem with the swap and mismatch as the edit operations, can be computed in time O(n√m log m).

UR - http://www.scopus.com/inward/record.url?scp=35048830395&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-30140-0_4

DO - 10.1007/978-3-540-30140-0_4

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AN - SCOPUS:35048830395

SN - 3540230254

SN - 9783540230250

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 16

EP - 27

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

A2 - Albers, Susanne

A2 - Radzik, Tomasz

PB - Springer Verlag

ER -