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DOI: 10.4230/LIPIcs.ISAAC.2016.19
URN: urn:nbn:de:0030-drops-67887
URL: http://drops.dagstuhl.de/opus/volltexte/2016/6788/
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Biniaz, Ahmad ; Bose, Prosenjit ; De Carufel, Jean-Lou ; Gavoille, Cyril ; Maheshwari, Anil ; Smid, Michiel

Towards Plane Spanners of Degree 3

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LIPIcs-ISAAC-2016-19.pdf (0.7 MB)


Abstract

Let S be a finite set of points in the plane that are in convex position. We present an algorithm that constructs a plane frac{3+4 pi}{3}-spanner of S whose vertex degree is at most 3. Let Lambda be the vertex set of a finite non-uniform rectangular lattice in the plane. We present an algorithm that constructs a plane 3 sqrt{2}-spanner for Lambda whose vertex degree is at most 3. For points that are in the plane and in general position, we show how to compute plane degree-3 spanners with a linear number of Steiner points.

BibTeX - Entry

@InProceedings{biniaz_et_al:LIPIcs:2016:6788,
  author =	{Ahmad Biniaz and Prosenjit Bose and Jean-Lou De Carufel and Cyril Gavoille and Anil Maheshwari and Michiel Smid},
  title =	{{Towards Plane Spanners of Degree 3}},
  booktitle =	{27th International Symposium on Algorithms and Computation (ISAAC 2016)},
  pages =	{19:1--19:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-026-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{64},
  editor =	{Seok-Hee Hong},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6788},
  URN =		{urn:nbn:de:0030-drops-67887},
  doi =		{10.4230/LIPIcs.ISAAC.2016.19},
  annote =	{Keywords: plane spanners, degree-3 spanners, convex position, non-uniform lattice}
}

Keywords: plane spanners, degree-3 spanners, convex position, non-uniform lattice
Seminar: 27th International Symposium on Algorithms and Computation (ISAAC 2016)
Issue Date: 2016
Date of publication: 02.12.2016


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