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Approximate string matching with don't care characters

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Combinatorial Pattern Matching (CPM 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 807))

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Abstract

This paper presents parallel and serial approximate matching algorithms for strings with don't care characters. They are based on Landau and Vishkin's approximate string matching algorithm and Fisher and Paterson's exact string matching algorithm with don't care characters. The serial algorithm works in O(√kmn log¦Σ¦ log2 m/k log log m/k) time, and the parallel algorithm works in O(k log m) time using O(√m/kn log ¦Σ¦ log m/k log log m/k) Processors on a CRCW-PRAM, where n denotes the length of a text string, m denotes the length of a pattern string, k denotes the maximum number of differences, and ∑ denotes the alphabet (i.e. the set of characters). Several extensions are also described.

Partially supported by the Grant-in-Aid for Scientific Research on Priority Areas, ”Genome Informatics”, of the Ministry of Education, Science and Culture of Japan.

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Maxime Crochemore Dan Gusfield

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© 1994 Springer-Verlag Berlin Heidelberg

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Akutsu, T. (1994). Approximate string matching with don't care characters. In: Crochemore, M., Gusfield, D. (eds) Combinatorial Pattern Matching. CPM 1994. Lecture Notes in Computer Science, vol 807. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58094-8_21

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  • DOI: https://doi.org/10.1007/3-540-58094-8_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58094-2

  • Online ISBN: 978-3-540-48450-9

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