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» Communication Complexity Lower Bounds by Polynomials
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JC
2011
87views more  JC 2011»
13 years 2 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
EUROCRYPT
2004
Springer
14 years 29 days ago
Optimal Communication Complexity of Generic Multicast Key Distribution
We prove a tight lower bound for generic protocols for secure multicast key distribution where the messages sent by the group manager for rekeying the group are obtained by arbitra...
Daniele Micciancio, Saurabh Panjwani
CORR
2008
Springer
101views Education» more  CORR 2008»
13 years 7 months ago
Sublinear Communication Protocols for Multi-Party Pointer Jumping and a Related Lower Bound
We study the one-way number-on-the-forehead (NOF) communication complexity of the k-layer pointer jumping problem with n vertices per layer. This classic problem, which has connec...
Joshua Brody, Amit Chakrabarti
COCO
2009
Springer
124views Algorithms» more  COCO 2009»
14 years 2 months ago
The Maximum Communication Complexity of Multi-Party Pointer Jumping
—We study the one-way number-on-the-forhead (NOF) communication complexity of the k-layer pointer jumping problem. Strong lower bounds for this problem would have important impli...
Joshua Brody
JC
2007
130views more  JC 2007»
13 years 7 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner