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» Influences of monotone Boolean functions
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DM
2010
119views more  DM 2010»
13 years 5 months ago
Influences of monotone Boolean functions
Recently, Keller and Pilpel conjectured that the influence of a monotone Boolean function does not decrease if we apply to it an invertible linear transformation. Our aim in this s...
Demetres Christofides
INDOCRYPT
2004
Springer
13 years 10 months ago
On Boolean Functions with Generalized Cryptographic Properties
By considering a new metric, we generalize cryptographic properties of Boolean functions such as resiliency and propagation characteristics. These new definitions result in a bett...
An Braeken, Ventzislav Nikov, Svetla Nikova, Bart ...
COCOON
2009
Springer
13 years 11 months ago
On the Readability of Monotone Boolean Formulae
Golumbic et al. [Discrete Applied Mathematics 154(2006) 1465-1477] defined the readability of a monotone Boolean function f to be the minimum integer k such that there exists an ...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf
ECCC
2008
93views more  ECCC 2008»
13 years 4 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya