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» Complexity Considerations, cSAT Problem Lower Bound
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FOCS
2006
IEEE
13 years 11 months ago
Higher Lower Bounds for Near-Neighbor and Further Rich Problems
We convert cell-probe lower bounds for polynomial space into stronger lower bounds for near-linear space. Our technique applies to any lower bound proved through the richness meth...
Mihai Patrascu, Mikkel Thorup
ICALP
2005
Springer
13 years 10 months ago
Hadamard Tensors and Lower Bounds on Multiparty Communication Complexity
We develop a new method for estimating the discrepancy of tensors associated with multiparty communication problems in the “Number on the Forehead” model of Chandra, Furst and...
Jeff Ford, Anna Gál
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 5 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
SODA
2012
ACM
245views Algorithms» more  SODA 2012»
11 years 7 months ago
Lower bounds for number-in-hand multiparty communication complexity, made easy
In this paper we prove lower bounds on randomized multiparty communication complexity, both in the blackboard model (where each message is written on a blackboard for all players ...
Jeff M. Phillips, Elad Verbin, Qin Zhang
FOCS
2006
IEEE
13 years 11 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao