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COMPGEOM
2004
ACM
13 years 9 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 9 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 5 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