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.2019.19
URN: urn:nbn:de:0030-drops-104903
URL: https://drops.dagstuhl.de/opus/volltexte/2019/10490/
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Akhavi, Ali ; Clément, Julien ; Darthenay, Dimitri ; Lhote, Loïck ; Vallée, Brigitte

Dichotomic Selection on Words: A Probabilistic Analysis

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LIPIcs-CPM-2019-19.pdf (0.7 MB)


Abstract

The paper studies the behaviour of selection algorithms that are based on dichotomy principles. On the entry formed by an ordered list L and a searched element x not in L, they return the interval of the list L the element x belongs to. We focus here on the case of words, where dichotomy principles lead to a selection algorithm designed by Crochemore, Hancart and Lecroq, which appears to be "quasi-optimal". We perform a probabilistic analysis of this algorithm that exhibits its quasi-optimality on average.

BibTeX - Entry

@InProceedings{akhavi_et_al:LIPIcs:2019:10490,
  author =	{Ali Akhavi and Julien Cl{\'e}ment and Dimitri Darthenay and Loick Lhote and Brigitte Vall{\'e}e},
  title =	{{Dichotomic Selection on Words: A Probabilistic Analysis}},
  booktitle =	{30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019)},
  pages =	{19:1--19:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-103-0},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{128},
  editor =	{Nadia Pisanti and Solon P. Pissis},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10490},
  URN =		{urn:nbn:de:0030-drops-104903},
  doi =		{10.4230/LIPIcs.CPM.2019.19},
  annote =	{Keywords: dichotomic selection, text algorithms, analysis of algorithms, average case analysis of algorithms, trie, suffix array, lcp-array, information theory}
}

Keywords: dichotomic selection, text algorithms, analysis of algorithms, average case analysis of algorithms, trie, suffix array, lcp-array, information theory
Collection: 30th Annual Symposium on Combinatorial Pattern Matching (CPM 2019)
Issue Date: 2019
Date of publication: 06.06.2019


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