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The Complexity of the Approximate Multiple Pattern Matching Problem for Random Strings

Authors: Frédérique Bassino, Tsinjo Rakotoarimalala, and Andrea Sportiello

Published in: LIPIcs, Volume 159, 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020)


Abstract
We describe a multiple string pattern matching algorithm which is well-suited for approximate search and dictionaries composed of words of different lengths. We prove that this algorithm has optimal complexity rate up to a multiplicative constant, for arbitrary dictionaries. This extends to arbitrary dictionaries the classical results of Yao [SIAM J. Comput. 8, 1979], and Chang and Marr [Proc. CPM94, 1994].

Cite as

Frédérique Bassino, Tsinjo Rakotoarimalala, and Andrea Sportiello. The Complexity of the Approximate Multiple Pattern Matching Problem for Random Strings. In 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 159, pp. 3:1-3:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{bassino_et_al:LIPIcs.AofA.2020.3,
  author =	{Bassino, Fr\'{e}d\'{e}rique and Rakotoarimalala, Tsinjo and Sportiello, Andrea},
  title =	{{The Complexity of the Approximate Multiple Pattern Matching Problem for Random Strings}},
  booktitle =	{31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2020)},
  pages =	{3:1--3:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-147-4},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{159},
  editor =	{Drmota, Michael and Heuberger, Clemens},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2020.3},
  URN =		{urn:nbn:de:0030-drops-120336},
  doi =		{10.4230/LIPIcs.AofA.2020.3},
  annote =	{Keywords: Average-case analysis of algorithms, String Pattern Matching, Computational Complexity bounds}
}
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