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DOI: 10.4230/LIPIcs.STACS.2014.506

Space-Efficient String Indexing for Wildcard Pattern Matching

Authors: Moshe Lewenstein, Yakov Nekrich, and Jeffrey Scott Vitter

Published in: LIPIcs, Volume 25, 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)

Abstract

In this paper we describe compressed indexes that support pattern matching queries for strings with wildcards. For a constant size alphabet our data structure uses O(n.log^e(n)) bits for any e>0 and reports all occ occurrences of a wildcard string in O(m+s^g.M(n)+occ) time, where M(n)=o(log(log(log(n)))), s is the alphabet size, m is the number of alphabet symbols and g is the number of wildcard symbols in the query string. We also present an O(n)-bit index with O((m+s^g+occ).log^e(n)) query time and an O(n{log(log(n))}^2)-bit index with O((m+s^g+occ).log(log(n))) query time. These are the first non-trivial data structures for this problem that need o(n.log(n)) bits of space.

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Moshe Lewenstein, Yakov Nekrich, and Jeffrey Scott Vitter. Space-Efficient String Indexing for Wildcard Pattern Matching. In 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 25, pp. 506-517, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)

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@InProceedings{lewenstein_et_al:LIPIcs.STACS.2014.506,
  author =	{Lewenstein, Moshe and Nekrich, Yakov and Vitter, Jeffrey Scott},
  title =	{{Space-Efficient String Indexing for Wildcard Pattern Matching}},
  booktitle =	{31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)},
  pages =	{506--517},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-65-1},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{25},
  editor =	{Mayr, Ernst W. and Portier, Natacha},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2014.506},
  URN =		{urn:nbn:de:0030-drops-44838},
  doi =		{10.4230/LIPIcs.STACS.2014.506},
  annote =	{Keywords: compressed data structures, compressed indexes, pattern matching}
}

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Space-Efficient String Indexing for Wildcard Pattern Matching

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