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» Lower Bounds in Distributed Computing
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IPL
2007
111views more  IPL 2007»
15 years 20 days ago
Powering requires threshold depth 3
We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m poly(n). Let LTd denote the class of func...
Alexander A. Sherstov
93
Voted
CORR
2006
Springer
138views Education» more  CORR 2006»
15 years 24 days ago
Tight Bounds on the Complexity of Recognizing Odd-Ranked Elements
Let S = s1, s2, s3, ..., sn be a given vector of n distinct real numbers. The rank of z R with respect to S is defined as the number of elements si S such that si z. We consider...
Shripad Thite
107
Voted
APPROX
2009
Springer
142views Algorithms» more  APPROX 2009»
15 years 7 months ago
Optimal Sherali-Adams Gaps from Pairwise Independence
Abstract. This work considers the problem of approximating fixed predicate constraint satisfaction problems (MAX k-CSP(P)). We show that if the set of assignments accepted by P co...
Konstantinos Georgiou, Avner Magen, Madhur Tulsian...
103
Voted
CPC
1998
91views more  CPC 1998»
15 years 13 days ago
Complexity and Probability of Some Boolean Formulas
For any Boolean functionf letL(f) be its formulasizecomplexityin the basis f^ 1g. For every n and every k n=2, we describe a probabilistic distribution on formulas in the basis f^...
Petr Savický
PODC
1999
ACM
15 years 5 months ago
Computing Anonymously with Arbitrary Knowledge
We provide characterizations of the relations that can be computed with arbitrary knowledge on networks where all processors use the same algorithm and start from the same state (...
Paolo Boldi, Sebastiano Vigna