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the approximability of the string barcoding problem字符串条码可近似性的问题
Algorithms for Molecular Biology BioMed Central Research Open Access The approximability of the String Barcoding problem Giuseppe Lancia* and Romeo Rizzi Address: Dipartimento di Matematica ed Informatica, Universitá di Udine, Via delle Scienze 206, Udine, Italy Email: Giuseppe Lancia* - lancia@dimi.uniud.it; Romeo Rizzi - rizzi@dimi.uniud.it * Corresponding author Published: 08 August 2006 Received: 16 May 2006 Accepted: 08 August 2006 Algorithms for Molecular Biology 2006, 1:12 doi:10.1186/1748-7188-1-12 This article is available from: /content/1/1/12 © 2006 Lancia and Rizzi; licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract The String Barcoding (SBC) problem, introduced by Rash and Gusfield (RECOMB, 2002), consists in finding a minimum set of substrings that can be used to distinguish between all members of a set of given strings. In a computational biology context, the given strings represent a set of known viruses, while the substrings can be used as probes for an hybridization experiment via microarray. Eventually, one aims at the classification of new strings (unknown viruses) through the result of the hybridization experiment. In this paper we show that SBC is as hard to approximate as Set Cover. Furthermore, we show that the constrained version of SBC (with probes of bounded length) is also
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