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- W2067366661 abstract "The interior and exterior functions of a Boolean function f were introduced in Makino and Ibaraki (Discrete Appl. Math. 69 (1996) 209–231), as stability (or robustness) measures of the f . In this paper, we investigate the complexity of two problems α -INTERIOR and α -EXTERIOR, introduced therein. We first answer the question about the complexity of α -INTERIOR left open in Makino and Ibaraki (Discrete Appl. Math. 69 (1996) 209–231); it has no polynomial total time algorithm even if α is bounded by a constant, unless P =NP. However, for positive h -term DNF functions with h bounded by a constant, problems α -INTERIOR and α -EXTERIOR can be solved in (input) polynomial time and polynomial delay, respectively. Furthermore, for positive k -DNF functions, α -INTERIOR for two cases in which k =1, and α and k are both bounded by a constant, can be solved in polynomial delay and in polynomial time, respectively." @default.
- W2067366661 created "2016-06-24" @default.
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- W2067366661 date "2003-08-01" @default.
- W2067366661 modified "2023-09-24" @default.
- W2067366661 title "Interior and exterior functions of positive Boolean functions" @default.
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- W2067366661 doi "https://doi.org/10.1016/s0166-218x(02)00602-9" @default.
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