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arxiv: math/0504378 · v2 · pith:WX3URIBJnew · submitted 2005-04-19 · 🧮 math.PR · cs.CC· cs.CE· math.ST· q-bio.PE· stat.TH

A Short Proof that Phylogenetic Tree Reconstruction by Maximum Likelihood is Hard

classification 🧮 math.PR cs.CCcs.CEmath.STq-bio.PEstat.TH
keywords likelihoodmaximumproofshorttreealthoughbeencomputing
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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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