Nicole Anderson, Michael Breunig, Kyle Goryl, Hannah
Lewis, Manda Riehl and McKenzie Scanlan
Vol. 12 (2019), No. 2, 257–280
DOI: 10.2140/involve.2019.12.257
Abstract
RNA secondary structures have been modeled using a variety of matching families. We
first explore the intersections of different matching families which are models for likely
RNA secondary structures. We then introduce their respective enumeration sequences and
prove our proposed equations for enumeration. Next, we prove a formula for the number of
matchings with a given crossing number for a variety of matching families. Then we develop
a new statistic called the pseudoknot number and find the maximum pseudoknot number
on a given set of matchings. We end by providing a comparison between the crossing
number, nesting number, and pseudoknot number for three matching families on nine edges.
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