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.SoCG.2019.52
URN: urn:nbn:de:0030-drops-104566
URL: https://drops.dagstuhl.de/opus/volltexte/2019/10456/
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Munro, J. Ian ; Nekrich, Yakov

Dynamic Planar Point Location in External Memory

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LIPIcs-SoCG-2019-52.pdf (0.6 MB)


Abstract

In this paper we describe a fully-dynamic data structure for the planar point location problem in the external memory model. Our data structure supports queries in O(log_B n(log log_B n)^3)) I/Os and updates in O(log_B n(log log_B n)^2)) amortized I/Os, where n is the number of segments in the subdivision and B is the block size. This is the first dynamic data structure with almost-optimal query cost. For comparison all previously known results for this problem require O(log_B^2 n) I/Os to answer queries. Our result almost matches the best known upper bound in the internal-memory model.

BibTeX - Entry

@InProceedings{munro_et_al:LIPIcs:2019:10456,
  author =	{J. Ian Munro and Yakov Nekrich},
  title =	{{Dynamic Planar Point Location in External Memory}},
  booktitle =	{35th International Symposium on Computational Geometry (SoCG 2019)},
  pages =	{52:1--52:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-104-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{129},
  editor =	{Gill Barequet and Yusu Wang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10456},
  URN =		{urn:nbn:de:0030-drops-104566},
  doi =		{10.4230/LIPIcs.SoCG.2019.52},
  annote =	{Keywords: Data Structures, Dynamic Data Structures, Planar Point Location, External Memory}
}

Keywords: Data Structures, Dynamic Data Structures, Planar Point Location, External Memory
Collection: 35th International Symposium on Computational Geometry (SoCG 2019)
Issue Date: 2019
Date of publication: 11.06.2019


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