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» Exponential lower bounds for the numbers of Skolem-type sequ...
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 4 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
ICALP
2011
Springer
12 years 11 months ago
On the Advice Complexity of the k-Server Problem
Competitive analysis is the established tool for measuring the output quality of algorithms that work in an online environment. Recently, the model of advice complexity has been in...
Hans-Joachim Böckenhauer, Dennis Komm, Rastis...
TCC
2009
Springer
151views Cryptology» more  TCC 2009»
14 years 8 months ago
Secret Sharing and Non-Shannon Information Inequalities
The known secret-sharing schemes for most access structures are not efficient; even for a one-bit secret the length of the shares in the schemes is 2O(n) , where n is the number of...
Amos Beimel, Ilan Orlov
ESA
2009
Springer
149views Algorithms» more  ESA 2009»
14 years 2 months ago
On the Power of Uniform Power: Capacity of Wireless Networks with Bounded Resources
Abstract. The throughput capacity of arbitrary wireless networks under the physical Signal to Interference Plus Noise Ratio (SINR) model has received a greater deal of attention in...
Chen Avin, Zvi Lotker, Yvonne Anne Pignolet
JC
2007
94views more  JC 2007»
13 years 7 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou