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IPL
2007
111views more  IPL 2007»
13 years 7 months 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
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
STOC
2009
ACM
167views Algorithms» more  STOC 2009»
14 years 8 months ago
On the complexity of communication complexity
We consider the following question: given a two-argument boolean function f, represented as an N ? N binary matrix, how hard is to determine the (deterministic) communication comp...
Eyal Kushilevitz, Enav Weinreb
COCO
2009
Springer
115views Algorithms» more  COCO 2009»
13 years 11 months ago
On the Communication Complexity of Read-Once AC^0 Formulae
Abstract--We study the 2-party randomized communication complexity of read-once AC0 formulae. For balanced AND-OR trees T with n inputs and depth d, we show that the communication ...
T. S. Jayram, Swastik Kopparty, Prasad Raghavendra
APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 9 months ago
The Complexity of Local List Decoding
We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that co...
Dan Gutfreund, Guy N. Rothblum