Semi-local String Comparison: Algorithmic Techniques and Applications
Tiskin, A. (2008) Semi-local String Comparison: Algorithmic Techniques and Applications. Mathematics in Computer Science, 1 (4). pp. 571-603. ISSN 1661-8270
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Official URL: http://dx.doi.org/10.1007/s11786-007-0033-3
Given two strings, the longest common subsequence (LCS) problem consists in computing the length of the longest string that is a subsequence of both input strings. Its generalisation, the all semi-local LCS problem, requires
computing the LCS length for each string against all substrings of the other string, and for all prefixes of each string against all suffixes of the other string.
We survey a number of algorithmic techniques related to the all semi-local LCS problem. We then present a number of algorithmic applications of these techniques, both existing and new. In particular, we obtain a new all semilocal
LCS algorithm, with asymptotic running time matching (in the case of an unbounded alphabet) the fastest known global LCS algorithm by Masek and Paterson. We conclude that semi-local string comparison turns out to be a useful algorithmic plug-in, which unifies, and often improves on, a number of previous approaches to various substring- and subsequence-related problems.
|Uncontrolled Keywords:||focs string algorithms longest common subsequence semi-local string comparison|
|Subjects:||Q Science > QA Mathematics > QA75 Electronic computers. Computer science|
|Divisions:||Faculty of Science > Computer Science|
|Depositing User:||Ms Saima Arif|
|Date Deposited:||06 Dec 2010 12:20|
|Last Modified:||26 Jul 2011 12:15|
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