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WADS
2007
Springer
180views Algorithms» more  WADS 2007»
15 years 3 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
SODA
2007
ACM
123views Algorithms» more  SODA 2007»
14 years 11 months ago
Region-fault tolerant geometric spanners
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
COMGEO
2007
ACM
14 years 9 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»
15 years 2 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...
CCCG
2010
14 years 11 months ago
Stable roommates and geometric spanners
In this paper we devise a new geometric spanner based on a generalization of the known Stable Roommates algorithm. This spanner is on the "path" between the Yao graph an...
Paz Carmi, Lilach Chaitman