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94
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CIE
2010
Springer
15 years 3 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
IPL
2010
82views more  IPL 2010»
14 years 8 months ago
New upper bounds on the Boolean circuit complexity of symmetric functions
In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5n + o(n) for any symmetric ...
E. Demenkov, Arist Kojevnikov, Alexander S. Kuliko...
78
Voted
FCT
2009
Springer
15 years 4 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
71
Voted
ISAAC
2004
Springer
105views Algorithms» more  ISAAC 2004»
15 years 3 months ago
On the Monotone Circuit Complexity of Quadratic Boolean Functions
Kazuyuki Amano, Akira Maruoka