@article{a7ee6953bb4e4c659390bdec4ab6eae0,
title = "On monotonicity testing and boolean isoperimetric-type theorems",
abstract = " We show a directed and robust analogue of a boolean isoperimetric-type theorem of Talagrand [Geom. Funct. Anal., 3 (1993), pp. 295-314]. As an application, we give a monotonicity testing algorithm that makes {\~O}(√n/ε 2 ) nonadaptive queries to a function f : \{0, 1\} n 7→ \{0, 1\}, always accepts a monotone function, and rejects a function that is ε-far from being monotone with constant probability.",
keywords = "Boolean functions, Boolean isoperimetry, Monotonicity testing, Property testing",
author = "Subhash Khot and Dor Minzer and Muli Safra",
note = "Publisher Copyright: {\textcopyright} 2018 Society for Industrial and Applied Mathematics",
year = "2018",
doi = "10.1137/16M1065872",
language = "אנגלית",
volume = "47",
pages = "2238--2276",
journal = "SIAM Journal on Computing",
issn = "0097-5397",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
number = "6",
}