Vol. 12, No. 2, 2019

Download this article
Download this article For screen
For printing
Recent Issues

Volume 15
Issue 4, 547–726
Issue 3, 367–546
Issue 2, 185–365
Issue 1, 1–184

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Author Index
Coming Soon
Other MSP Journals
This article is available for purchase or by subscription. See below.
Properties of RNA secondary structure matching models

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

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.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 30.00:

RNA secondary structure, perfect matchings, crossing number, nesting number, pseudoknot
Mathematical Subject Classification 2010
Primary: 05C30, 92E10
Received: 22 July 2017
Revised: 3 April 2018
Accepted: 4 April 2018
Published: 8 October 2018

Communicated by Anant Godbole
Nicole Anderson
University of Wisconsin
Eau Claire, WI
United States
Michael Breunig
University of Wisconsin
Eau Claire, WI
United States
Kyle Goryl
University of Wisconsin
Milwaukee, WI
United States
Hannah Lewis
University of Wisconsin
Eau Claire, WI
United States
Manda Riehl
Department of Mathematics
Rose-Hulman Institute of Technology
Terre Haute, IN
United States
McKenzie Scanlan
University of Wisconsin
Eau Claire, WI
United States