Geometry of the space of phylogenetic trees

  title={Geometry of the space of phylogenetic trees},
  author={Louis J. Billera and Susan Holmes and Karen Vogtmann},
We consider a continuous space which models the set of all phylogenetic trees having a fixed set of leaves. This space has a natural metric of nonpositive curvature, giving a way of measuring distance between phylogenetic trees and providing some procedures for averaging or combining several trees whose leaves are identical. This geometry also shows which trees appear within a fixed distance of a given tree and enables construction of convex hulls of a set of trees. This geometric model of tree… CONTINUE READING


Publications citing this paper.

200 Citations

Citations per Year
Semantic Scholar estimates that this publication has 200 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.

and K

  • L. Billera, S. Holmes
  • Vogtmann, “A Geometrical Perspective on the…
  • 2002
Highly Influential
3 Excerpts

Dress , Recovering symbolically dated , rooted trees from symbolic ultrametrics

  • M. A.W.
  • Adv . Math .
  • 2002

Tukey , Mathematics and the picturing of data

  • W. J.
  • Proceedings of the International Congress of…
  • 2000

Enumerative Combinatorics,” Cambridge Univ

  • R. Stanley
  • Press, Cambridge, UK,
  • 1999
1 Excerpt

Flag complexes, labelled rooted trees, and star shellings, in “Advances in Discrete and Computational Geometry” (B

  • L. Billera, C. Chan, N. Liu
  • Chazelle, J. E. Goodman, and R. Pollack, Eds…
  • 1999
1 Excerpt

Similar Papers

Loading similar papers…