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STOC
2012
ACM
192views Algorithms» more  STOC 2012»
13 years 15 days ago
Nearly optimal sparse fourier transform
We consider the problem of computing the k-sparse approximation to the discrete Fourier transform of an ndimensional signal. We show: • An O(k log n)-time randomized algorithm f...
Haitham Hassanieh, Piotr Indyk, Dina Katabi, Eric ...
STOC
2012
ACM
196views Algorithms» more  STOC 2012»
13 years 15 days ago
Time-space tradeoffs in resolution: superpolynomial lower bounds for superlinear space
We give the first time-space tradeoff lower bounds for Resolution proofs that apply to superlinear space. In particular, we show that there are formulas of size N that have Reso...
Paul Beame, Christopher Beck, Russell Impagliazzo
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 15 days ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 15 days ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
STOC
2012
ACM
272views Algorithms» more  STOC 2012»
13 years 15 days ago
The cell probe complexity of dynamic range counting
In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we pro...
Kasper Green Larsen