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.ISAAC.2016.19
URN: urn:nbn:de:0030-drops-67887
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6788/
Biniaz, Ahmad ;
Bose, Prosenjit ;
De Carufel, Jean-Lou ;
Gavoille, Cyril ;
Maheshwari, Anil ;
Smid, Michiel
Towards Plane Spanners of Degree 3
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}
}
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Keywords: |
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plane spanners, degree-3 spanners, convex position, non-uniform lattice |
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Collection: |
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27th International Symposium on Algorithms and Computation (ISAAC 2016) |
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Issue Date: |
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2016 |
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Date of publication: |
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07.12.2016 |
