Spaces of RNA secondary structures

DOI10.1006/aima.1993.1039zbMath0810.92011OpenAlexW2008468762MaRDI QIDQ1312845

Michael S. Waterman, Robert C. Penner

Publication date: 10 February 1994

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

Full work available at URL: https://doi.org/10.1006/aima.1993.1039

zbMATH Keywords

posetssphericityTeichmüller theorytrain tracksgeometric realizationsbond picturesclasses of rooted treesisomorphisms of posetslinear macromoleculespartially ordered sets of macromoleculessecondary structure of RNAsimplicial decomposition of a topological spacetopological spheres

Mathematics Subject Classification ID

Partial orders, general (06A06) General topology of complexes (57Q05) Biochemistry, molecular biology (92C40) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Teichmüller theory for Riemann surfaces (30F60)

Related Items (29)

Statistics of topological RNA structures ⋮ Local connectivity of neutral networks ⋮ Irreducibility in RNA structures ⋮ Topological language for RNA ⋮ The rainbow spectrum of RNA secondary structures ⋮ Posets and Spaces of $k$-Noncrossing RNA Structures ⋮ Topological classification and enumeration of RNA structures by genus ⋮ RNA structures with pseudo-knots: graph-theoretical, combinatorial, and statistical properties ⋮ A type-B associahedron. ⋮ Shapes of topological RNA structures ⋮ Combinatorics of RNA structures with pseudoknots ⋮ Enumeration of chord diagrams on many intervals and their non-orientable analogs ⋮ Generation of RNA pseudoknot structures with topological genus filtration ⋮ A bijection for tricellular maps ⋮ Asymptotic enumeration of RNA structures with pseudoknots ⋮ Efficient pattern matching for RNA secondary structures ⋮ Convex polytopes and enumeration ⋮ Fatgraph models of RNA structure ⋮ Fatgraph models of proteins ⋮ Loop homology of bi-secondary structures ⋮ Moduli spaces and macromolecules ⋮ Combinatorial design of pseudoknot RNA ⋮ The block spectrum of RNA pseudoknot structures ⋮ Combinatorics of RNA secondary structures ⋮ On the decomposition of \(k\)-noncrossing RNA structures ⋮ Loop homology of bi-secondary structures. II ⋮ General combinatorics of RNA secondary structure ⋮ On RNA-RNA interaction structures of fixed topological genus ⋮ Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution

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