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Dynamic programming algorithms for RNA secondary structure prediction with pseudoknots Export

Discrete Applied Mathematics, Vol. 104, No. 1-3. (15 August 2000), pp. 45-62.

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approximation-algorithms computational-biology dynamic-programming pseudoknot rna-secondary-structure

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This paper shows simple dynamic programming algorithms for RNA secondary structure prediction with pseudoknots. For a basic version of the problem (i.e., maximizing the number of base pairs), this paper presents an O(n4) time exact algorithm and an O(n4-[delta]) time approximation algorithm. The latter one outputs, for most RNA sequences, a secondary structure in which the number of base pairs is at least 1-[var epsilon] of the optimal, where [var epsilon],[delta] are any constants satisfying 0<[var epsilon],[delta]<1. Several related results are shown too.


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