The topological filtration of γ-structures.

Clicks: 463
ID: 47843
2013
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Abstract
In this paper we study γ-structures filtered by topological genus. γ-structures are a class of RNA pseudoknot structures that plays a key role in the context of polynomial time folding of RNA pseudoknot structures. A γ-structure is composed by specific building blocks, that have topological genus less than or equal to γ, where composition means concatenation and nesting of such blocks. Our main results are the derivation of a new bivariate generating function for γ-structures via symbolic methods, the singularity analysis of the solutions and a central limit theorem for the distribution of topological genus in γ-structures of given length. In our derivation specific bivariate polynomials play a central role. Their coefficients count particular motifs of fixed topological genus and they are of relevance in the context of genus recursion and novel folding algorithms.
Reference Key
li2013themathematical Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Li, Thomas J X;Reidys, Christian M;
Journal Mathematical biosciences
Year 2013
DOI
10.1016/j.mbs.2012.09.006
URL
Keywords
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