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» Lower Bounds in Distributed Computing
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STACS
2007
Springer
14 years 2 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
CSR
2008
Springer
13 years 10 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
14 years 28 days 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 9 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
2005
IEEE
14 years 2 months ago
Lower Bounds for the Noisy Broadcast Problem
We prove the first non-trivial (super linear) lower bound in the noisy broadcast model, defined by El Gamal in [6]. In this model there are n + 1 processors P0, P1, . . . , Pn, ...
Navin Goyal, Guy Kindler, Michael E. Saks