Why Neighbor-Joining Works

@article{Mihaescu2007WhyNW,
  title={Why Neighbor-Joining Works},
  author={Radu Mihaescu and D. Levy and L. Pachter},
  journal={Algorithmica},
  year={2007},
  volume={54},
  pages={1-24}
}
Abstract We show that the neighbor-joining algorithm is a robust quartet method for constructing trees from distances. This leads to a new performance guarantee that contains Atteson’s optimal radius bound as a special case and explains many cases where neighbor-joining is successful even when Atteson’s criterion is not satisfied. We also provide a proof for Atteson’s conjecture on the optimal edge radius of the neighbor-joining algorithm. The strong performance guarantees we provide also hold… Expand

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