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An infinite class of unsaturated rooted trees corresponding to designable RNA secondary structures. (English) Zbl 07226876
Summary: An RNA secondary structure is designable if there is an RNA sequence which can attain its maximum number of base pairs only by adopting that structure. The combinatorial RNA design problem, introduced by J. Haleš et al. [Algorithmica 79, No. 3, 835–856 (2017; Zbl 1383.92058)] is to determine whether or not a given RNA secondary structure is designable. Haleš et al. [loc. cit.] identified certain classes of designable and non-designable secondary structures by reference to their corresponding rooted trees. We introduce an infinite class of rooted trees containing unpaired nucleotides at the greatest depth, and prove constructively that their corresponding secondary structures are designable. This complements previous results for the combinatorial RNA design problem.
92D20 Protein sequences, DNA sequences
Full Text: DOI
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