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» Construction of Minimum-Weight Spanners
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WDAG
2007
Springer
86views Algorithms» more  WDAG 2007»
14 years 2 months ago
Deterministic Distributed Construction of Linear Stretch Spanners in Polylogarithmic Time
The paper presents a deterministic distributed algorithm that given an n node unweighted graph constructs an O(n3/2 ) edge 3-spanner for it in O(log n) time. This algorithm is the...
Bilel Derbel, Cyril Gavoille, David Peleg
DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
14 years 1 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
13 years 8 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...
CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 8 months ago
Communication-Efficient Construction of the Plane Localized Delaunay Graph
Let V be a finite set of points in the plane. We present a 2-local algorithm that constructs a plane 4 3 9 -spanner of the unit-disk graph UDG(V ). This algorithm makes only one ...
Prosenjit Bose, Paz Carmi, Michiel H. M. Smid, Dam...
ESA
1994
Springer
138views Algorithms» more  ESA 1994»
14 years 20 days ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid