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A Short Proof that Phylogenetic Tree Reconstruction by Maximum Likelihood Is Hard
January-March 2006 (vol. 3 no. 1)
pp. 92-94
Maximum likelihood is one of the most widely used techniques to infer evolutionary histories. Although it is thought to be intractable, a proof of its hardness has been lacking. Here, we give a short proof that computing the maximum likelihood tree is NP-hard by exploiting a connection between likelihood and parsimony observed by Tuffley and Steel.

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Index Terms:
Analysis of algorithms and problem complexity, probability and statistics, biology and genetics.
Citation:
Sebastien Roch, "A Short Proof that Phylogenetic Tree Reconstruction by Maximum Likelihood Is Hard," IEEE/ACM Transactions on Computational Biology and Bioinformatics, vol. 3, no. 1, pp. 92-94, Jan.-March 2006, doi:10.1109/TCBB.2006.4
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