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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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Alternative definition of the strong NP-completeness

https://doi.org/10.29235/1561-2430-2024-60-4-303-308

Abstract

The paper explains the shortcomings of the existing definition of the strong NP-completeness. An alternative definition is proposed, that preserves all existing results on proving the strong NP-completeness of decision problems. Besides, the definition of NP-completeness and the alternative definition of the strong NP-completeness have the same structure. 

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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)