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» Construction of Minimum-Weight Spanners
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WDAG
2007
Springer
86views Algorithms» more  WDAG 2007»
15 years 3 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»
15 years 2 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»
14 years 9 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»
14 years 9 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»
15 years 1 months 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