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» Construction of Minimum-Weight Spanners
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ESA
2009
Springer
144views Algorithms» more  ESA 2009»
16 years 14 days 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
211
Voted
WADS
2009
Springer
291views Algorithms» more  WADS 2009»
16 years 14 days 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
15 years 12 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
16 years 22 days 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
15 years 5 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