Nodal distances for rooted phylogenetic trees

@article{Cardona2010NodalDF,
  title={Nodal distances for rooted phylogenetic trees},
  author={Gabriel Cardona and Merc{\`e} Llabr{\'e}s and Francesc Rossell{\'o} and Gabriel Valiente},
  journal={Journal of Mathematical Biology},
  year={2010},
  volume={61},
  pages={253-276}
}
Dissimilarity measures for (possibly weighted) phylogenetic trees based on the comparison of their vectors of path lengths between pairs of taxa, have been present in the systematics literature since the early seventies. For rooted phylogenetic trees, however, these vectors can only separate non-weighted binary trees, and therefore these dissimilarity measures are metrics only on this class of rooted phylogenetic trees. In this paper we overcome this problem, by splitting in a suitable way each… 
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