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.2020.23
URN: urn:nbn:de:0030-drops-121482
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12148/
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Matsuda, Kotaro ; Sadakane, Kunihiko ; Starikovskaya, Tatiana ; Tateshita, Masakazu

Compressed Orthogonal Search on Suffix Arrays with Applications to Range LCP

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Abstract

We propose a space-efficient data structure for orthogonal range search on suffix arrays. For general two-dimensional orthogonal range search problem on a set of n points, there exists an n log n (1+o(1))-bit data structure supporting O(log n)-time counting queries [Mäkinen, Navarro 2007]. The space matches the information-theoretic lower bound. However, if we focus on a point set representing a suffix array, there is a chance to obtain a space efficient data structure. We answer this question affirmatively. Namely, we propose a data structure for orthogonal range search on suffix arrays which uses O(1/(ε) n (H₀+1)) bits where H₀ is the order-0 entropy of the string and answers a counting query in O(n^ε) time for any constant ε>0. As an application, we give an O(1/(ε) n (H₀+1))-bit data structure for the range LCP problem.

BibTeX - Entry

@InProceedings{matsuda_et_al:LIPIcs:2020:12148,
  author =	{Kotaro Matsuda and Kunihiko Sadakane and Tatiana Starikovskaya and Masakazu Tateshita},
  title =	{{Compressed Orthogonal Search on Suffix Arrays with Applications to Range LCP}},
  booktitle =	{31st Annual Symposium on Combinatorial Pattern Matching (CPM 2020)},
  pages =	{23:1--23:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-149-8},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{161},
  editor =	{Inge Li G{\o}rtz and Oren Weimann},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12148},
  URN =		{urn:nbn:de:0030-drops-121482},
  doi =		{10.4230/LIPIcs.CPM.2020.23},
  annote =	{Keywords: Orthogonal Range Search, Succinct Data Structure, Suffix Array}
}

Keywords: Orthogonal Range Search, Succinct Data Structure, Suffix Array
Collection: 31st Annual Symposium on Combinatorial Pattern Matching (CPM 2020)
Issue Date: 2020
Date of publication: 09.06.2020

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