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Non-crossing matchings. (English. Russian original) Zbl 1301.92057

Probl. Inf. Transm. 49, No. 1, 54-57 (2013); translation from Probl. Peredachi Inf. 49, No. 1, 61-65 (2013).
Summary: We model the secondary structure of an RNA molecule by means of a maximal non-crossing matching on a random word in a finite alphabet, where ties are only allowed between certain pairs of letters. We prove that the mean fraction of unmatched symbols does not vanish as the length of the word tends to infinity.

MSC:

92D20 Protein sequences, DNA sequences
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References:

[1] Valba, O.V., Tamm, M.V., and Nechaev, S.K., New Alphabet-Dependent Morphological Transition in Random RNA Alignment, Phys. Rev. Lett., 2012, vol. 109, no. 1, pp. 018102. · doi:10.1103/PhysRevLett.109.018102
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