Simplified partial digest problem: enumerative and dynamic programming algorithms
[ 1 ] Instytut Informatyki (II), Wydział Informatyki i Zarządzania, Politechnika Poznańska | [ P ] pracownik
2007
artykuł naukowy
angielski
- algorithm design and analysis
- dynamic programming
- genome mapping
- restriction site analysis
- imprecise information
EN We study the simplified partial digest problem (SPDP), which is a mathematical model for a new simplified partial digest method of genome mapping. This method is easy for laboratory implementation and robust with respect to the experimental errors. SPDP is NP-hard in the strong sense. We present an O(n2 n ) time enumerative algorithm (ENUM) and an O(n 2q ) time dynamic programming algorithm for the error-free SPDP, where n is the number of restriction sites and q is the number of distinct intersite distances. We also give examples of the problem in which there are 2 n+2 / 3 -1 noncongruent solutions. These examples partially answer a question recently posed in the literature about the number of solutions of SPDP. We adapt our ENUM for handling SPDP with imprecise input data. Finally, we describe and discuss the results of the computer experiments with our algorithms.
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