Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/15815
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: On the approximability of the Simplified Partial Digest Problem
Author(s): Blazewicz, Jacek
Burke, Edmund
Kasprzak, Marta
Kovalev, Alexandr
Kovalyov, Mikhail Y
Contact Email: e.k.burke@stir.ac.uk
Keywords: Genome mapping
Simplified Partial Digest
Computational complexity
Approximation
Issue Date: Oct-2009
Date Deposited: 8-Jul-2013
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. https://doi.org/10.1016/j.dam.2009.04.017
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.
DOI Link: 10.1016/j.dam.2009.04.017
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