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» Generating Sparse Spanners for Weighted Graphs
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SWAT
1990
Springer
72views Algorithms» more  SWAT 1990»
13 years 11 months ago
Generating Sparse Spanners for Weighted Graphs
Ingo Althöfer, Gautam Das, David P. Dobkin, D...
ISAAC
2004
Springer
170views Algorithms» more  ISAAC 2004»
14 years 7 days 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...
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 29 days 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
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
13 years 6 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...
STOC
2009
ACM
168views Algorithms» more  STOC 2009»
14 years 7 months ago
Fault-tolerant spanners for general graphs
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...