A correct proof of the McMorris-Powers' theorem on the consensus of phylogenies

Details A correct proof of the McMorris-Powers' theorem on the consensus of phylogenies A correct proof of the McMorris-Powers' theorem on the consensus of phylogenies

2006-07-29

arxiv.org/abs/math/0607772v1

Mathematics

Combinatorics

7 pages. To appear in Discrete Applied Mathematics

Scientific paper

10.1016/j.dam.2006.06.002

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 a correct proof is provided.

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