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arXiv · 1704.07902

A bijection between the set of nesting-similarity classes and L & P matchings

Megan A. Martinez·Manda Riehl
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Abstract

Matchings are frequently used to model RNA secondary structures; however, not all matchings can be realized as RNA motifs. One class of matchings, called the L $\&$ P matchings, is the most restrictive model for RNA secondary structures in the Largest Hairpin Family (LHF). The L $\&$ P matchings were enumerated in $2015$ by Jefferson, and they are equinumerous with the set of nesting-similarity classes of matchings, enumerated by Klazar. We provide a bijection between these two sets. This bijection preserves noncrossing matchings, and preserves the sequence obtained reading left to right of whether an edge begins or ends at that vertex.

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Megan A. Martinez, Manda Riehl. 2018-01-17. A bijection between the set of nesting-similarity classes and L & P matchings. https://doi.org/10.23638/dmtcs-19-2-1

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