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» Construction of Minimum-Weight Spanners
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OPODIS
2007
14 years 10 months ago
Distributed Approximation Algorithms for Finding 2-Edge-Connected Subgraphs
Abstract. We consider the distributed construction of a minimum weight 2edge-connected spanning subgraph (2-ECSS) of a given weighted or unweighted graph. A 2-ECSS of a graph is a ...
Sven Oliver Krumke, Peter Merz, Tim Nonner, Kathar...
PROPERTYTESTING
2010
14 years 7 months ago
Transitive-Closure Spanners: A Survey
We survey results on transitive-closure spanners and their applications. Given a directed graph G = (V, E) and an integer k 1, a k-transitive-closure-spanner (k-TC-spanner) of G ...
Sofya Raskhodnikova
CORR
2008
Springer
133views Education» more  CORR 2008»
14 years 9 months ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic
DCOSS
2009
Springer
15 years 2 months ago
Local Construction of Spanners in the 3-D Space
Abstract. In this paper we present local distributed algorithms for constructing spanners in wireless sensor networks modeled as unit ball graphs (shortly UBGs) and quasi-unit ball...
Iyad A. Kanj, Ge Xia, Fenghui Zhang
WDAG
2009
Springer
94views Algorithms» more  WDAG 2009»
15 years 1 months ago
Local Computation of Nearly Additive Spanners
Abstract. An (α, β)-spanner of a graph G is a subgraph H that approximates distances in G within a multiplicative factor α and an additive error β, ensuring that for any two no...
Bilel Derbel, Cyril Gavoille, David Peleg, Laurent...