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» Construction of Minimum-Weight Spanners
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COMGEO
2002
ACM
13 years 7 months ago
Quadtree, ray shooting and approximate minimum weight Steiner triangulation
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...
Siu-Wing Cheng, Kam-Hing Lee
SODA
2008
ACM
93views Algorithms» more  SODA 2008»
13 years 8 months ago
Minimum weight convex Steiner partitions
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Adrian Dumitrescu, Csaba D. Tóth
ADHOCNOW
2008
Springer
14 years 1 months ago
Localized Spanner Construction for Ad Hoc Networks with Variable Transmission Range
Abstract. This paper presents an algorithm for constructing a spanner for ad hoc networks whose nodes have variable transmission range. Almost all previous spanner constructions fo...
David Peleg, Liam Roditty
ICALP
2007
Springer
14 years 1 months ago
Low Distortion Spanners
A spanner of an undirected unweighted graph is a subgraph that approximates the distance metric of the original graph with some specified accuracy. Specifically, we say H ⊆ G i...
Seth Pettie
ICALP
2007
Springer
14 years 1 months ago
Streaming and Fully Dynamic Centralized Algorithms for Constructing and Maintaining Sparse Spanners
We present a streaming algorithm for constructing sparse spanners and show that our algorithm out-performs significantly the state-of-the-art algorithm for this task [20]. Speci...
Michael Elkin