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.SWAT.2016.7
URN: urn:nbn:de:0030-drops-60285
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6028/
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Karczmarz, Adam

A Simple Mergeable Dictionary

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LIPIcs-SWAT-2016-7.pdf (0.5 MB)

Abstract

A mergeable dictionary is a data structure storing a dynamic subset S of a totally ordered set U and supporting predecessor searches in S. Apart from insertions and deletions to S, we can both merge two arbitrarily interleaved dictionaries and split a given dictionary around some pivot x. We present an implementation of a mergeable dictionary matching the optimal amortized logarithmic bounds of Iacono and Ökzan [Iacono/Ökzan,ICALP'10]. However, our solution is significantly simpler. The proposed data structure can also be generalized to the case when the universe U is dynamic or infinite, thus addressing one issue of [Iacono/Ökzan,ICALP'10].

BibTeX - Entry

@InProceedings{karczmarz:LIPIcs:2016:6028,
  author =	{Adam Karczmarz},
  title =	{{A Simple Mergeable Dictionary}},
  booktitle =	{15th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2016)},
  pages =	{7:1--7:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-011-8},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{53},
  editor =	{Rasmus Pagh},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6028},
  URN =		{urn:nbn:de:0030-drops-60285},
  doi =		{10.4230/LIPIcs.SWAT.2016.7},
  annote =	{Keywords: dictionary, mergeable, data structure, merge, split}
}

Keywords: dictionary, mergeable, data structure, merge, split
Collection: 15th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2016)
Issue Date: 2016
Date of publication: 22.06.2016

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