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103
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FCT
2009
Springer
15 years 7 months ago
Energy Complexity and Depth of Threshold Circuits
Abstract. In the paper we show that there is a close relationship between the energy complexity and the depth of threshold circuits computing any Boolean function although they hav...
Kei Uchizawa, Takao Nishizeki, Eiji Takimoto
95
Voted
FOCS
2010
IEEE
14 years 11 months ago
The Monotone Complexity of k-clique on Random Graphs
It is widely suspected that Erdos-R
Benjamin Rossman
93
Voted
FOCS
1991
IEEE
15 years 4 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
112
Voted
FOCS
1991
IEEE
15 years 4 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál