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SIAMCOMP
2002
113views more  SIAMCOMP 2002»
13 years 7 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...
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 1 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
DC
2010
13 years 7 months ago
Distributed algorithms for ultrasparse spanners and linear size skeletons
We present efficient algorithms for computing very sparse low distortion spanners in distributed networks and prove some non-trivial lower bounds on the tradeoff between time, spar...
Seth Pettie
STOC
2009
ACM
168views Algorithms» more  STOC 2009»
14 years 8 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...
SCALESPACE
2007
Springer
14 years 1 months ago
Non-negative Sparse Modeling of Textures
This paper presents a statistical model for textures that uses a non-negative decomposition on a set of local atoms learned from an exemplar. This model is described by the varianc...
Gabriel Peyré