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.2016.22
URN: urn:nbn:de:0030-drops-60719
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6071/
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Takagi, Takuya ; Inenaga, Shunsuke ; Arimura, Hiroki

Fully-online Construction of Suffix Trees for Multiple Texts

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Abstract

We consider fully-online construction of indexing data structures for multiple texts. Let T = {T_1, ..., T_K} be a collection of texts. By fully-online, we mean that a new character can be appended to any text in T at any time. This is a natural generalization of semi-online construction of indexing data structures for multiple texts in which, after a new character is appended to the kth text T_k, then its previous texts T_1, ..., T_k-1 will remain static. Our fully-online scenario arises when we maintain dynamic indexes for multi-sensor data. Let N and sigma denote the total length of texts in T and the alphabet size, respectively. We first show that the algorithm by Blumer et al. [Theoretical Computer Science, 40:31-55, 1985] to construct the directed acyclic word graph (DAWG) for T can readily be extended to our fully-online setting, retaining O(N log sigma)-time and O(N)-space complexities. Then, we give a sophisticated fully-online algorithm which constructs the suffix tree for T in O(N log sigma) time and O(N) space. A key idea of this algorithm is synchronized maintenance of the DAWG and the suffix tree.

BibTeX - Entry

@InProceedings{takagi_et_al:LIPIcs:2016:6071,
  author =	{Takuya Takagi and Shunsuke Inenaga and Hiroki Arimura},
  title =	{{Fully-online Construction of Suffix Trees for Multiple Texts}},
  booktitle =	{27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016)},
  pages =	{22:1--22:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-012-5},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{54},
  editor =	{Roberto Grossi and Moshe Lewenstein},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6071},
  URN =		{urn:nbn:de:0030-drops-60719},
  doi =		{10.4230/LIPIcs.CPM.2016.22},
  annote =	{Keywords: suffix trees, DAWGs, multiple texts, online algorithms}
}

Keywords: suffix trees, DAWGs, multiple texts, online algorithms
Collection: 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016)
Issue Date: 2016
Date of publication: 27.06.2016

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