African Journal of
Biotechnology

  • Abbreviation: Afr. J. Biotechnol.
  • Language: English
  • ISSN: 1684-5315
  • DOI: 10.5897/AJB
  • Start Year: 2002
  • Published Articles: 12500

Full Length Research Paper

A combinatorial enumeration problem of RNA secondary structures

Wenwen Wang1* and Ming Zhang2
1School of Sciences, China University of Mining and Technology, Xuzhou, 221008, P.R. China. 2School of Manegement, China University of Mining and Technology, Xuzhou, 221008, P.R. China.
Email: [email protected]

  •  Accepted: 02 June 2009
  •  Published: 21 December 2011

Abstract

The total number of the RNA secondary structures with a limited length m in each hairpin loop, that is, Sm(n) has already been studied. In this paper, the number of this kind of RNA secondary structures is discussed with the technique of combinatorics. As a result, the recurrence relations, generating functions, explicit expressions, and some other properties were obtained. Furthermore, a new method to compute  Sm(n) is given in the end.

 

Key words: Combinatorial enumeration, generating function, RNA secondary structure.