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 -