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Spectral analysis and a closest tree method for genetic sequences

Pergamon Press
Publication Date
  • Computer Science
  • Mathematics


We describe a new method for estimating the evolutionary tree linking a collection of species from their aligned four-state genetic sequences. This method, which can be adapted to provide a branch-and-bound algorithm, is statistically consistent provided the sequences have evolved according to a standard stochastic model of nucleotide mutation. Our approach exploits a recent group-theoretic description of this model.

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