Circular orders of tree metrics, and their uses for the reconstruction and fitting of phylogenetic trees

@inproceedings{Makarenkov1996CircularOO,
  title={Circular orders of tree metrics, and their uses for the reconstruction and fitting of phylogenetic trees},
  author={Vladimir Makarenkov and Bruno Leclerc},
  booktitle={Mathematical Hierarchies and Biology},
  year={1996}
}
The circular orders associated with the planar drawings of an X-tree (or phylogenetic tree) have been studied by several authors. They allow an encoding of an Xtree by 2n-3 numbers (where n is the number of elements of X), the lengths of some paths between leaves of the tree. It is shown here that circular orders are the same as those obtained from the table of a tree metric by a construction due to Yushmanov [28]. It is also observed that this construction applies to any dissimilarity, tree… CONTINUE READING
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