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FOCS
2008
IEEE
13 years 10 months ago
Hardness of Nearest Neighbor under L-infinity
Recent years have seen a significant increase in our understanding of high-dimensional nearest neighbor search (NNS) for distances like the 1 and 2 norms. By contrast, our underst...
Alexandr Andoni, Dorian Croitoru, Mihai Patrascu
FOCS
2008
IEEE
14 years 4 months ago
Arithmetic Circuits: A Chasm at Depth Four
We show that proving exponential lower bounds on depth four arithmetic circuits imply exponential lower bounds for unrestricted depth arithmetic circuits. In other words, for expo...
Manindra Agrawal, V. Vinay
FOCS
2008
IEEE
14 years 4 months ago
Nearly Tight Low Stretch Spanning Trees
We prove that any graph G with n points has a distribution T over spanning trees such that for any edge (u, v) the expected stretch ET ∼T [dT (u, v)/dG(u, v)] is bounded by ˜O(...
Ittai Abraham, Yair Bartal, Ofer Neiman
FOCS
2008
IEEE
14 years 4 months ago
A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest
We give a randomized O(n polylog n)-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed ǫ > 0 and given n terminals in the plane ...
Glencora Borradaile, Philip N. Klein, Claire Mathi...
FOCS
2008
IEEE
14 years 4 months ago
Multi-unit Auctions with Budget Limits
We study multi-unit auctions where the bidders have a budget constraint, a situation very common in practice that has received relatively little attention in the auction theory li...
Shahar Dobzinski, Ron Lavi, Noam Nisan