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ESA
2010
Springer
203views Algorithms» more  ESA 2010»
13 years 6 months ago
Testing Euclidean Spanners
In this paper we develop a property testing algorithm for the problem of testing whether a directed geometric graph with bounded (out)degree is a (1 + )-spanner.
Frank Hellweg, Melanie Schmidt, Christian Sohler
COMGEO
2007
ACM
13 years 4 months ago
Geometric spanners with applications in wireless networks
In this paper we investigate the relations between spanners, weak spanners, and power spanners in RD for any dimension D and apply our results to topology control in wireless netw...
Christian Schindelhauer, Klaus Volbert, Martin Zie...
ISAAC
2004
Springer
170views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Spanners, Weak Spanners, and Power Spanners for Wireless Networks
For c ∈ R, a c-spanner is a subgraph of a complete Euclidean graph satisfying that between any two vertices there exists a path of weighted length at most c times their geometric...
Christian Schindelhauer, Klaus Volbert, Martin Zie...
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 4 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 4 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