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IPL
2007
111views more  IPL 2007»
15 years 5 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»
16 years 17 days 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»
16 years 6 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»
15 years 9 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»
15 years 8 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