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» A New Lower Bound for A(17, 6, 6)
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FOCS
2004
IEEE
15 years 3 months ago
An Optimal Randomised Cell Probe Lower Bound for Approximate Nearest Neighbour Searching
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
Amit Chakrabarti, Oded Regev
COCOON
2005
Springer
15 years 5 months ago
Exploring Simple Grid Polygons
Abstract. We investigate the online exploration problem of a shortsighted mobile robot moving in an unknown cellular room without obstacles. The robot has a very limited sensor; it...
Christian Icking, Thomas Kamphans, Rolf Klein, Elm...
FOCS
2006
IEEE
15 years 5 months ago
New Limits on Fault-Tolerant Quantum Computation
We show that quantum circuits cannot be made faulttolerant against a depolarizing noise level of ˆθ = (6 − 2 √ 2)/7 ≈ 45%, thereby improving on a previous bound of 50% (du...
Harry Buhrman, Richard Cleve, Monique Laurent, Noa...
COMPGEOM
2004
ACM
15 years 5 months ago
On locally Delaunay geometric graphs
A geometric graph is a simple graph G = (V, E) with an embedding of the set V in the plane such that the points that represent V are in general position. A geometric graph is said...
Rom Pinchasi, Shakhar Smorodinsky
JC
2007
130views more  JC 2007»
14 years 11 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner