eng
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
Leibniz International Proceedings in Informatics
1868-8969
2016-12-07
19:1
19:14
10.4230/LIPIcs.ISAAC.2016.19
article
Towards Plane Spanners of Degree 3
Biniaz, Ahmad
Bose, Prosenjit
De Carufel, Jean-Lou
Gavoille, Cyril
Maheshwari, Anil
Smid, Michiel
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.
https://drops.dagstuhl.de/storage/00lipics/lipics-vol064-isaac2016/LIPIcs.ISAAC.2016.19/LIPIcs.ISAAC.2016.19.pdf
plane spanners
degree-3 spanners
convex position
non-uniform lattice