License: Creative Commons Attribution-NoDerivs 3.0 Unported license (CC BY-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.STACS.2013.400
URN: urn:nbn:de:0030-drops-39513
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2013/3951/
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Jalsenius, Markus ; Porat, Benny ; Sach, Benjamin

Parameterized Matching in the Streaming Model

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Abstract

We study the problem of parameterized matching in a stream where we want to output matches between a pattern of length m and the last m symbols of the stream before the next symbol arrives. Parameterized matching is a natural generalisation of exact matching where an arbitrary one-to-one relabelling of pattern symbols is allowed. We show how this problem can be solved in constant time per arriving stream symbol and sublinear, near optimal space with high probability. Our results are surprising and important: it has been shown that almost no streaming pattern matching problems can be solved (not even randomised) in less than Theta(m) space, with exact matching as the only known problem to have a sublinear, near optimal space solution. Here we demonstrate that a similar sublinear, near optimal space solution is achievable for an even more challenging problem.

BibTeX - Entry

@InProceedings{jalsenius_et_al:LIPIcs:2013:3951,
  author =	{Markus Jalsenius and Benny Porat and Benjamin Sach},
  title =	{{Parameterized Matching in the Streaming Model}},
  booktitle =	{30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)},
  pages =	{400--411},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-50-7},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{20},
  editor =	{Natacha Portier and Thomas Wilke},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2013/3951},
  URN =		{urn:nbn:de:0030-drops-39513},
  doi =		{10.4230/LIPIcs.STACS.2013.400},
  annote =	{Keywords: Pattern matching, streaming algorithms, randomized algorithms}
}

Keywords: Pattern matching, streaming algorithms, randomized algorithms
Collection: 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013)
Issue Date: 2013
Date of publication: 26.02.2013

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