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» On the Sensitivity of Cyclically-Invariant Boolean Functions
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COCO
2005
Springer
77views Algorithms» more  COCO 2005»
13 years 10 months ago
On the Sensitivity of Cyclically-Invariant Boolean Functions
In this paper we construct a cyclically invariant Boolean function whose sensitivity is Θ(n1/3 ). This result answers two previously published questions. Tur´an (1984) asked if ...
Sourav Chakraborty
TCS
2002
13 years 4 months ago
Complexity measures and decision tree complexity: a survey
We discuss several complexity measures for Boolean functions: certi cate complexity, sensitivity, block sensitivity, and the degree of a representing or approximating polynomial. ...
Harry Buhrman, Ronald de Wolf
APPROX
2011
Springer
249views Algorithms» more  APPROX 2011»
12 years 4 months ago
A Canonical Form for Testing Boolean Function Properties
In a well-known result Goldreich and Trevisan (2003) showed that every testable graph property has a “canonical” tester in which a set of vertices is selected at random and the...
Dana Dachman-Soled, Rocco A. Servedio
ICCD
1996
IEEE
170views Hardware» more  ICCD 1996»
13 years 8 months ago
Boolean Function Representation Based on Disjoint-Support Decompositions
The Multi-Level Decomposition Diagrams (MLDDs) of this paper are a canonical representation of Boolean functions expliciting disjoint-support decompositions. MLDDs allow the reduc...
Valeria Bertacco, Maurizio Damiani