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CORR
2008
Springer
114views Education» more  CORR 2008»
13 years 5 months ago
Multiparty Communication Complexity of Disjointness
We obtain a lower bound of n 1 k+1 22k (k-1)2k-1 on the k-party randomized communication complexity of the Disjointness function in the `Number on the Forehead' model of mul...
Arkadev Chattopadhyay, Anil Ada
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 2 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev
CIE
2006
Springer
13 years 8 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante
JC
2011
87views more  JC 2011»
12 years 12 months ago
Lower bounds for the complexity of linear functionals in the randomized setting
Abstract. Hinrichs [3] recently studied multivariate integration defined over reproducing kernel Hilbert spaces in the randomized setting and for the normalized error criterion. I...
Erich Novak, Henryk Wozniakowski
DFG
1992
Springer
13 years 9 months ago
Complexity of Boolean Functions on PRAMs - Lower Bound Techniques
Determining time necessary for computing important functions on parallel machines is one of the most important problems in complexity theory for parallel algorithms. Recently, a s...
Miroslaw Kutylowski