English

Unique perfect phylogeny is NP-hard

Populations and Evolution 2010-11-29 v1 Computational Complexity

Abstract

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 ?"

Cite

@article{arxiv.1011.5737,
  title  = {Unique perfect phylogeny is NP-hard},
  author = {Michel Habib and Juraj Stacho},
  journal= {arXiv preprint arXiv:1011.5737},
  year   = {2010}
}
R2 v1 2026-06-21T16:49:15.223Z