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.ESA.2016.44
URN: urn:nbn:de:0030-drops-63561
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6356/
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Golan, Shay ; Kopelowitz, Tsvi ; Porat, Ely

Streaming Pattern Matching with d Wildcards

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LIPIcs-ESA-2016-44.pdf (1 MB)

Abstract

In the pattern matching with d wildcards problem we are given a text T of length n and a pattern P of length m that contains d wildcard characters, each denoted by a special symbol '?'. A wildcard character matches any other character. The goal is to establish for each m-length substring of T whether it matches P. In the streaming model variant of the pattern matching with d wildcards problem the text T arrives one character at a time and the goal is to report, before the next character arrives, if the last m characters match P while using only o(m) words of space.

In this paper we introduce two new algorithms for the d wildcard pattern matching problem in the streaming model.
The first is a randomized Monte Carlo algorithm that is parameterized by a constant 0<=delta<=1. This algorithm uses ~O(d^{1-delta}) amortized time per character and ~O(d^{1+delta}) words of space. The second algorithm, which is used as a black box in the first algorithm, is a randomized Monte Carlo algorithm which uses O(d+log m) worst-case time per character and O(d log m) words of space.

BibTeX - Entry

@InProceedings{golan_et_al:LIPIcs:2016:6356,
  author =	{Shay Golan and Tsvi Kopelowitz and Ely Porat},
  title =	{{Streaming Pattern Matching with d Wildcards}},
  booktitle =	{24th Annual European Symposium on Algorithms (ESA 2016)},
  pages =	{44:1--44:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-015-6},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{57},
  editor =	{Piotr Sankowski and Christos Zaroliagis},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6356},
  URN =		{urn:nbn:de:0030-drops-63561},
  doi =		{10.4230/LIPIcs.ESA.2016.44},
  annote =	{Keywords: wildcards, don't-cares, streaming pattern matching, fingerprints}
}

Keywords: wildcards, don't-cares, streaming pattern matching, fingerprints
Collection: 24th Annual European Symposium on Algorithms (ESA 2016)
Issue Date: 2016
Date of publication: 18.08.2016

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