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2019 Properties of RNA secondary structure matching models
Nicole Anderson, Michael Breunig, Kyle Goryl, Hannah Lewis, Manda Riehl, McKenzie Scanlan
Involve 12(2): 257-280 (2019). 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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Nicole Anderson. Michael Breunig. Kyle Goryl. Hannah Lewis. Manda Riehl. McKenzie Scanlan. "Properties of RNA secondary structure matching models." Involve 12 (2) 257 - 280, 2019. https://doi.org/10.2140/involve.2019.12.257

Information

Received: 22 July 2017; Revised: 3 April 2018; Accepted: 4 April 2018; Published: 2019
First available in Project Euclid: 25 October 2018

zbMATH: 06980501
MathSciNet: MR3864217
Digital Object Identifier: 10.2140/involve.2019.12.257

Subjects:
Primary: 05C30, 92E10

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 2 • 2019
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