Canonical RNA pseudoknot structures
| dc.creator | Ma, Gang | |
| dc.creator | Reidys, Christian M. | |
| dc.date | 2008-06-15 | |
| dc.date.accessioned | 2026-07-07T09:44:44Z | |
| dc.date.available | 2026-07-07T09:44:44Z | |
| dc.description | In this paper we study $k$-noncrossing, canonical RNA pseudoknot structures with minimum arc-length $\ge 4$. Let ${\sf T}_{k,σ}^{[4]} (n)$ denote the number of these structures. We derive exact enumeration results by computing the generating function ${\bf T}_{k,σ}^{[4]}(z)= \sum_n{\sf T}_{k,σ}^{[4]}(n)z^n$ and derive the asymptotic formulas ${\sf T}_{k,3}^{[4]}(n)^{}\sim c_k n^{-(k-1)^2-\frac{k-1}{2}} (γ_{k,3}^{[4]})^{-n}$ for $k=3,...,9$. In particular we have for $k=3$, ${\sf T}_{3,3}^{[4]}(n)^{}\sim c_3 n^{-5} 2.0348^n$. Our results prove that the set of biophysically relevant RNA pseudoknot structures is surprisingly small and suggest a new structure class as target for prediction algorithms. | |
| dc.description | 21 pages,7 figures | |
| dc.identifier | https://arxiv.org/abs/0806.2414 | |
| dc.identifier | http://arxiv.org/abs/0806.2414 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162977 | |
| dc.subject | Combinatorics | |
| dc.subject | General Mathematics | |
| dc.subject | 14J60 (Primary) 14F05, 14J26 (Secondary) | |
| dc.title | Canonical RNA pseudoknot structures | |
| dc.type | text |