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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