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DOI: 10.4230/OASIcs.SOSA.2018.10
URN: urn:nbn:de:0030-drops-83089
URL: http://drops.dagstuhl.de/opus/volltexte/2018/8308/
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Kopelowitz, Tsvi ; Porat, Ely

A Simple Algorithm for Approximating the Text-To-Pattern Hamming Distance

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OASIcs-SOSA-2018-10.pdf (0.4 MB)


Abstract

The algorithmic task of computing the Hamming distance between a given pattern of length m and each location in a text of length n, both over a general alphabet \Sigma, is one of the most fundamental algorithmic tasks in string algorithms. The fastest known runtime for exact computation is \tilde O(n\sqrt m). We recently introduced a complicated randomized algorithm for obtaining a (1 +/- eps) approximation for each location in the text in O( (n/eps) log(1/eps) log n log m log |\Sigma|) total time, breaking a barrier that stood for 22 years. In this paper, we introduce an elementary and simple randomized algorithm that takes O((n/eps) log n log m) time.

BibTeX - Entry

@InProceedings{kopelowitz_et_al:OASIcs:2018:8308,
  author =	{Tsvi Kopelowitz and Ely Porat},
  title =	{{A Simple Algorithm for Approximating the Text-To-Pattern Hamming Distance}},
  booktitle =	{1st Symposium on Simplicity in Algorithms (SOSA 2018)},
  pages =	{10:1--10:5},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-064-4},
  ISSN =	{2190-6807},
  year =	{2018},
  volume =	{61},
  editor =	{Raimund Seidel},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/8308},
  URN =		{urn:nbn:de:0030-drops-83089},
  doi =		{10.4230/OASIcs.SOSA.2018.10},
  annote =	{Keywords: Pattern Matching, Hamming Distance, Approximation Algorithms}
}

Keywords: Pattern Matching, Hamming Distance, Approximation Algorithms
Seminar: 1st Symposium on Simplicity in Algorithms (SOSA 2018)
Issue Date: 2018
Date of publication: 05.01.2018


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