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» On Superlinear Lower Bounds in Complexity Theory
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CSR
2008
Springer
13 years 9 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender
FOCS
1994
IEEE
13 years 11 months ago
A Spectral Approach to Lower Bounds
We establish a nonlinear lower bound for halfplane range searching over a group. Specifically, we show that summing up the weights of n (weighted) points within n halfplanes requir...
Bernard Chazelle
STOC
2004
ACM
177views Algorithms» more  STOC 2004»
14 years 8 months ago
Lower bounds for linear degeneracy testing
Abstract. In the late nineties, Erickson proved a remarkable lower bound on the decision tree complexity of one of the central problems of computational geometry: given n numbers, ...
Nir Ailon, Bernard Chazelle
FOCS
1998
IEEE
13 years 12 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
SIGECOM
2008
ACM
155views ECommerce» more  SIGECOM 2008»
13 years 7 months ago
Tight information-theoretic lower bounds for welfare maximization in combinatorial auctions
We provide tight information-theoretic lower bounds for the welfare maximization problem in combinatorial auctions. In this problem, the goal is to partition m items among k bidde...
Vahab S. Mirrokni, Michael Schapira, Jan Vondr&aac...