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.STACS.2016.23
URN: urn:nbn:de:0030-drops-57241
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/5724/
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Brodal, Gerth Stølting

External Memory Three-Sided Range Reporting and Top-k Queries with Sublogarithmic Updates

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Abstract

An external memory data structure is presented for maintaining a dynamic set of N two-dimensional points under the insertion and deletion of points, and supporting unsorted 3-sided range reporting queries and top-k queries, where top-k queries report the k points with highest y-value within a given x-range. For any constant 0 < epsilon <= 1/2, a data structure is constructed that supports updates in amortized O(1/(epsilon * B^{1-epsilon}) * log_B(N)) IOs and queries in amortized O(1/epsilon * log_B(N+K/B)) IOs, where B is the external memory block size, and K is the size of the output to the query (for top-k queries K is the minimum of k and the number of points in the query interval). The data structure uses linear space. The update bound is a significant factor B^{1-epsilon} improvement over the previous best update bounds for these two query problems, while staying within the same query and space bounds.

BibTeX - Entry

@InProceedings{brodal:LIPIcs:2016:5724,
  author =	{Gerth St\olting Brodal},
  title =	{{External Memory Three-Sided Range Reporting and Top-k Queries with Sublogarithmic Updates}},
  booktitle =	{33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016)},
  pages =	{23:1--23:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-001-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{47},
  editor =	{Nicolas Ollinger and Heribert Vollmer},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/5724},
  URN =		{urn:nbn:de:0030-drops-57241},
  doi =		{10.4230/LIPIcs.STACS.2016.23},
  annote =	{Keywords: External memory, priority search tree, 3-sided range reporting, top-k queries}
}

Keywords: External memory, priority search tree, 3-sided range reporting, top-k queries
Collection: 33rd Symposium on Theoretical Aspects of Computer Science (STACS 2016)
Issue Date: 2016
Date of publication: 16.02.2016

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