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» Construction of Minimum-Weight Spanners
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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
14 years 2 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon
WADS
2009
Springer
291views Algorithms» more  WADS 2009»
14 years 2 months ago
On the Power of the Semi-Separated Pair Decomposition
Abstract. A Semi-Separated Pair Decomposition (SSPD), with parameter s > 1, of a set S ⊂ Rd is a set {(Ai, Bi)} of pairs of subsets of S such that for each i, there are balls ...
Mohammad Ali Abam, Paz Carmi, Mohammad Farshi, Mic...
PODC
2006
ACM
14 years 1 months ago
Local approximation schemes for topology control
This paper presents a distributed algorithm for wireless adhoc networks that runs in polylogarithmic number of rounds in the size of the network and constructs a lightweight, line...
Mirela Damian, Saurav Pandit, Sriram V. Pemmaraju
SAC
2010
ACM
14 years 2 months ago
Spanders: distributed spanning expanders
We consider self-stabilizing and self-organizing distributed construction of a spanner that forms an expander. The following results are presented. • A randomized technique to r...
Shlomi Dolev, Nir Tzachar
IM
2008
13 years 7 months ago
Fast and Efficient Restricted Delaunay Triangulation in Random Geometric Graphs
Let G = G(n, r) be a random geometric graph resulting from placing n nodes uniformly at random in the unit square (disk) and connecting every two nodes if and only if their Euclide...
Chen Avin