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.CPM.2017.18
URN: urn:nbn:de:0030-drops-73234
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7323/
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I, Tomohiro

Longest Common Extensions with Recompression

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LIPIcs-CPM-2017-18.pdf (0.6 MB)

Abstract

Given two positions i and j in a string T of length N, a longest common extension (LCE) query asks for the length of the longest common prefix between suffixes beginning at i and j. A compressed LCE data structure stores T in a compressed form while supporting fast LCE queries. In this article we show that the recompression technique is a powerful tool for compressed LCE data structures. We present a new compressed LCE data structure of size O(z lg (N/z)) that supports LCE queries in O(lg N) time, where z is the size of Lempel-Ziv 77 factorization without self-reference of T. Given T as an uncompressed form, we show how to build our data structure in O(N) time and space. Given T as a grammar compressed form, i.e., a straight-line program of size n generating T, we show how to build our data structure in O(n lg (N/n)) time and O(n + z lg (N/z)) space. Our algorithms are deterministic and always return correct answers.

BibTeX - Entry

@InProceedings{i:LIPIcs:2017:7323,
  author =	{Tomohiro I},
  title =	{{Longest Common Extensions with Recompression}},
  booktitle =	{28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017)},
  pages =	{18:1--18:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-039-2},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{78},
  editor =	{Juha K{\"a}rkk{\"a}inen and Jakub Radoszewski and Wojciech Rytter},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7323},
  URN =		{urn:nbn:de:0030-drops-73234},
  doi =		{10.4230/LIPIcs.CPM.2017.18},
  annote =	{Keywords: Longest Common Extension (LCE) queries, compressed data structure, grammar compressed strings, Straight-Line Program (SLP)}
}

Keywords: Longest Common Extension (LCE) queries, compressed data structure, grammar compressed strings, Straight-Line Program (SLP)
Collection: 28th Annual Symposium on Combinatorial Pattern Matching (CPM 2017)
Issue Date: 2017
Date of publication: 30.06.2017

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