%0 Journal Article
%T A circular order on edge-coloured trees and RNA m-diagrams
%A Robert J. Marsh
%A Sibylle Schroll
%J Quantitative Biology
%D 2010
%I arXiv
%R 10.1016/j.aam.2013.09.009
%X 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.
%U http://arxiv.org/abs/1010.3763v5