Enumerative aspects of secondary structures

DOI10.1016/j.disc.2004.04.001zbMath1044.05008OpenAlexW1983134569MaRDI QIDQ1877651

Darko Veljan, Tomislav Došlić, Dragutin Svrtan

Publication date: 19 August 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.04.001

zbMATH Keywords

Orthogonal polynomialsDyck pathMotzkin numbersNarayana numbersMotzkin pathLog-convexitySecondary structures

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Combinatorial inequalities (05A20) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Protein sequences, DNA sequences (92D20) Asymptotic enumeration (05A16) Polyominoes (05B50)

Related Items (20)

Regular simple queues of protein contact maps ⋮ The log-balancedness of generalized derangement numbers ⋮ The log-convexity of \(r\)-derangement numbers ⋮ Chord diagrams, contact-topological quantum field theory and contact categories ⋮ Log-convexity and strong \(q\)-\(\log\)-convexity for some triangular arrays ⋮ Enumeration of symmetric arc diagrams ⋮ Inequalities associated with the Baxter numbers ⋮ RNA secondary structures with given motif specification: combinatorics and algorithms ⋮ Knight's paths towards Catalan numbers ⋮ Peakless Motzkin paths with marked level steps at fixed height ⋮ On the log-convexity of combinatorial sequences ⋮ Asymptotic enumeration of RNA secondary structure ⋮ Logarithmic behavior of some combinatorial sequences ⋮ Seven (lattice) paths to log-convexity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The log-convexity of the poly-Cauchy numbers ⋮ Narayana numbers and Schur-Szegő composition ⋮ Some statistics on generalized Motzkin paths with vertical steps

Cites Work

• RNA structures with pseudo-knots: graph-theoretical, combinatorial, and statistical properties
• Modeling RNA secondary structures. I: Mathematical structural model for predicting RNA secondary structures
• Some remarks on uniform asymptotic expansions for Bessel functions
• On some new sequences generalizing the Catalan and Motzkin numbers
• Combinatorics of RNA secondary structures
• Linear trees and RNA secondary structure
• Motzkin numbers
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