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» Construction of Minimum-Weight Spanners
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STOC
2009
ACM
168views Algorithms» more  STOC 2009»
14 years 8 months ago
Fault-tolerant spanners for general graphs
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...
SIAMCOMP
1998
124views more  SIAMCOMP 1998»
13 years 7 months ago
Near-Linear Time Construction of Sparse Neighborhood Covers
This paper introduces a near-linear time sequential algorithm for constructing a sparse neighborhood cover. This implies analogous improvements (from quadratic to near-linear time)...
Baruch Awerbuch, Bonnie Berger, Lenore Cowen, Davi...
ICDCS
2002
IEEE
14 years 12 days ago
Geometric Spanners for Wireless Ad Hoc Networks
Abstract—We propose a new geometric spanner for wireless ad hoc networks, which can be constructed efficiently in a distributed manner. It integrates the connected dominating se...
Yu Wang 0003, Xiang-Yang Li
STACS
2007
Springer
14 years 1 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 1 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari