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COMPGEOM
2004
ACM
13 years 10 months ago
Deformable spanners and applications
For a set S of points in Rd, an s-spanner is a graph on S such that any pair of points is connected via some path in the spanner whose total length is at most s times the Euclidea...
Jie Gao, Leonidas J. Guibas, An Nguyen
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
2010
159views more  ALGORITHMICA 2010»
13 years 4 months ago
Computing the Greedy Spanner in Near-Quadratic Time
It is well-known that the greedy algorithm produces high quality spanners and therefore is used in several applications. However, for points in d-dimensional Euclidean space, the g...
Prosenjit Bose, Paz Carmi, Mohammad Farshi, Anil M...
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 6 months ago
Static and kinetic geometric spanners with applications
It is well known that the Delaunay Triangulation is a spanner graph of its vertices. In this paper we show that any bounded aspect ratio triangulation in two and three dimensions ...
Menelaos I. Karavelas, Leonidas J. Guibas