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arXiv · 1010.3763

A circular order on edge-coloured trees and RNA m-diagrams

Bethany Marsh·Sibylle Schroll
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Abstract

We study a circular order on labelled, m-edge-coloured trees with k vertices, and show that the set of such trees with a fixed circular order is in bijection with the set of RNA m-diagrams of degree k, combinatorial objects which can be regarded as RNA secondary structures of a certain kind. We enumerate these sets and show that the set of trees with a fixed circular order can be characterized as an equivalence class for the transitive closure of an operation which, in the case m=3, arises as an induction in the context of interval exchange transformations.

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Bethany Marsh, Sibylle Schroll. 2013-09-22. A circular order on edge-coloured trees and RNA m-diagrams. https://doi.org/10.1016/j.aam.2013.09.009

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