|Appears in Collections:||Computing Science and Mathematics Journal Articles|
|Peer Review Status:||Refereed|
|Title:||On the approximability of the Simplified Partial Digest Problem|
Kovalyov, Mikhail Y
Simplified Partial Digest
|Citation:||Blazewicz J, Burke E, Kasprzak M, Kovalev A & Kovalyov MY (2009) On the approximability of the Simplified Partial Digest Problem, Discrete Applied Mathematics, 157 (17), pp. 3586-3592.|
|Abstract:||In this paper, we analyse the computational complexity of an optimization version of the Simplified Partial Digest Problem (SPDP), which is a mathematical model for DNA mapping based on the results of a simplified partial digest experiment. We prove that recognizing 46.16% of the elements of the DNA map in the error-free simplified partial digest experiment is NP-hard in the strong sense. This implies that the problem of maximizing the number of correct elements of the DNA map in the error-free simplified partial digest experiment is pseudopolynomially non-approximable with the approximation ratio ρ=13/6.|
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