@inproceedings{Billera2000GeometryOT,
title={Geometry of the space of phylogenetic trees},
author={Louis J. Billera and Susan Holmes and Karen Vogtmann},
year={2000}
}

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