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Non-crossing matchings

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Abstract

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.

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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.

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Authors and Affiliations

  1. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

    A. A. Vladimirov

  2. National Research University-Higher School of Economics, Moscow, Russia

    A. A. Vladimirov

Authors
  1. A. A. Vladimirov
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Correspondence to A. A. Vladimirov.

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Original Russian Text © A.A. Vladimirov, 2013, published in Problemy Peredachi Informatsii, 2013, Vol. 49, No. 1, pp. 61–65.

Supported in part by the Russian Foundation for Basic Research, project no. 10-01-93114.

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Vladimirov, A.A. Non-crossing matchings. Probl Inf Transm 49, 54–57 (2013). https://doi.org/10.1134/S0032946013010055

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  • DOI: https://doi.org/10.1134/S0032946013010055

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