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- W2093889711 abstract "The symmetric differences of NP-hard sets with weakly-P-selective sets are investigated. We show that if there exist a weakly-P-selective set A and an NP-⩽ P m -hard set H such that H - A ϵ P btt (sparse) and A — H ϵ P m (sparse) then P = NP. So no NP-⩽ P m -hard set has sparse symmetric difference with any weakly-P-selective set unless P = NP. The proof of our main result is an interesting application of the tree prunning techniques (Fortune 1979; Mahaney 1982). In addition, we show that there exists a P-selective set which has exponentially dense symmetric difference with every set in P btt (sparse)." @default.
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- W2093889711 date "1993-11-01" @default.
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- W2093889711 title "On symmetric differences of NP-hard sets with weakly P-selective sets" @default.
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- W2093889711 doi "https://doi.org/10.1016/0304-3975(93)90292-2" @default.
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