Reconstructing Trees from Subtree Weights

Details Reconstructing Trees from Subtree Weights Reconstructing Trees from Subtree Weights

2003-11-11

arxiv.org/abs/math/0311156v1

Mathematics

Combinatorics

Scientific paper

The tree-metric theorem provides a necessary and sufficient condition for a dissimilarity matrix to be a tree metric, and has served as the foundation for numerous distance-based reconstruction methods in phylogenetics. Our main result is an extension of the tree-metric theorem to more general dissimilarity maps. In particular, we show that a tree with n leaves is reconstructible from the weights of the m-leaf subtrees provided that n \geq 2m-1.

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