Trees, RNA secondary structures and cluster combinatorics

Details Trees, RNA secondary structures and cluster combinatorics Trees, RNA secondary structures and cluster combinatorics

2010-10-19

arxiv.org/abs/1010.3763v3

Mathematics

Combinatorics

32 pages, 19 figures. Title changed. Improved referencing of RNA secondary structures (Section 2.2, Remark 3.5, after Thm. 4.3

Scientific paper

We develop and study the structure of combinatorial objects that are a special case of RNA secondary structures. These are generalisations of objects arising from interval exchange transformations generalising those in the Sturmian context. We represent them as labelled edge-coloured trees. We classify and enumerate them and show that a natural subset is in bijection with a set of m-clusters. Furthermore, we interpret a notion of induction used to model generalised interval exchange transformations as a composition of cluster mutations.

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