Nodal distances for rooted phylogenetic trees

(By G. Cardona, M. Llabrés, F. Rosselló, G. Valiente)

Preprint available at arXiv

Supplementary Material

• Phylogenetic trees with nested taxa up to 6 taxa:
  • n=3
  • n=4
  • n=5
  • n=6
  The i-th line in the file corresponding to n holds a Newick string identifying the i-th (starting with i=0) tree with n taxa.

• Distances between all pairs of trees up to 5 taxa:
  • n=3
  • n=4
  • n=5
  Each line is of the form "i j d", where d is a string describing the p-th power of the L^p distance (in terms of a generic p) between the i-th and the j-th tree with n taxa.

• Distributions of distances between all pairs of trees for p=1 and p=2 (this one squared, to take integer values) up to 6 taxa:
  • p=1, n=3
  • p=1, n=4
  • p=1, n=5
  • p=1, n=6
  • p=2, n=3
  • p=2, n=4
  • p=2, n=5
  • p=2, n=6
  Each line is of the form "d k", where k is the number of (unordered) pairs of trees at distance d.

• Distributions of distances between pairs of trees in TreeBase with n common taxa for p=1 and p=2 (this one squared, to take integer values) up to 6 common taxa:
  • p=1, n=2
  • p=1, n=3
  • p=1, n=4
  • p=1, n=5
  • p=1, n=6
  • p=2, n=2
  • p=2, n=3
  • p=2, n=4
  • p=2, n=5
  • p=2, n=6
  Each line is of the form "d k", where k is the number of (unordered) pairs of trees at distance d.

• Plots of the distributions above are also available in the pdf file:
  • Plots