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» Complexity Considerations, cSAT Problem Lower Bound
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FOCS
2003
IEEE
14 years 2 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
MFCS
2004
Springer
14 years 2 months ago
Scaled Dimension and the Kolmogorov Complexity of Turing-Hard Sets
We study constructive and resource-bounded scaled dimension as an information content measure and obtain several results that parallel previous work on unscaled dimension. Scaled ...
John M. Hitchcock, María López-Vald&...
SPAA
1993
ACM
14 years 26 days ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout
QCQC
1998
Springer
115views Communications» more  QCQC 1998»
14 years 1 months ago
Quantum Entanglement and the Communication Complexity of the Inner Product Function
Abstract. We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of partic...
Richard Cleve, Wim van Dam, Michael Nielsen, Alain...
ALGORITHMICA
2006
160views more  ALGORITHMICA 2006»
13 years 8 months ago
Combinatorial Algorithms for the Unsplittable Flow Problem
We provide combinatorial algorithms for the unsplittable flow problem (UFP) that either match or improve the previously best results. In the UFP we are given a (possibly directed)...
Yossi Azar, Oded Regev