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A correct proof of the McMorris-Powers’ theorem on the consensus of phylogenies
Authors:Bhalchandra D Thatte
Institution:Allan Wilson Centre for Molecular Ecology and Evolution and Institute of Fundamental Science, Massey University, Palmerston North, New Zealand
Abstract:McMorris and Powers proved an Arrow-type theorem on phylogenies given as collections of quartets. There is an error in one of the main lemmas used to prove this theorem. However, this lemma (and thereby the theorem) is still true, and we provide a corrected proof.
Keywords:Consensus functions  Phylogenetics
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