Unique perfect phylogeny is NP-hard

Biology – Quantitative Biology – Populations and Evolution

Scientific paper

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Scientific paper

We answer, in the affirmative, the following question proposed by Mike Steel
as a $100 challenge: "Is the following problem NP-hard? Given a ternary
phylogenetic X-tree T and a collection Q of quartet subtrees on X, is T the
only tree that displays Q ?"

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