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» Construction of Minimum-Weight Spanners
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COMGEO
2002
ACM
13 years 5 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 6 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
13 years 11 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
13 years 11 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
13 years 11 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