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DOI: 10.4230/LIPIcs.ISAAC.2016.19
URN: urn:nbn:de:0030-drops-67887
URL: https://drops.dagstuhl.de/opus/volltexte/2016/6788/
Biniaz, Ahmad ; Bose, Prosenjit ; De Carufel, Jean-Lou ; Gavoille, Cyril ; Maheshwari, Anil ; Smid, Michiel
Towards Plane Spanners of Degree 3
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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: | 07.12.2016 |
