License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.APPROX-RANDOM.2017.42
URN: urn:nbn:de:0030-drops-75911
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7591/
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Ergün, Funda ; Grigorescu, Elena ; Sadeqi Azer, Erfan ; Zhou, Samson

Streaming Periodicity with Mismatches

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Abstract

We study the problem of finding all k-periods of a length-n string S, presented as a data stream. S is said to have k-period p if its prefix of length n-p differs from its suffix of length n-p in at most k locations.

We give a one-pass streaming algorithm that computes the k-periods of a string S using poly(k, log n) bits of space, for k-periods of length at most n/2. We also present a two-pass streaming algorithm that computes k-periods of S using poly(k, log n) bits of space, regardless of period length. We complement these results with comparable lower bounds.

BibTeX - Entry

@InProceedings{ergn_et_al:LIPIcs:2017:7591,
  author =	{Funda Erg{\"u}n and Elena Grigorescu and Erfan Sadeqi Azer and Samson Zhou},
  title =	{{Streaming Periodicity with Mismatches}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2017)},
  pages =	{42:1--42:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-044-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{81},
  editor =	{Klaus Jansen and Jos{\'e} D. P. Rolim and David Williamson and Santosh S. Vempala},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7591},
  URN =		{urn:nbn:de:0030-drops-75911},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2017.42},
  annote =	{Keywords: String algorithms, Streaming algorithms, Pattern matching, Randomized algorithms, Sublinear algorithms}
}

Keywords: String algorithms, Streaming algorithms, Pattern matching, Randomized algorithms, Sublinear algorithms
Collection: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2017)
Issue Date: 2017
Date of publication: 11.08.2017

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