When Three Trees Go to War

How many reticulations are needed for a phylogenetic network to display a given set of k phylogenetic trees on n leaves? For k = 2, Baroni et al. [Ann. Comb. 8, 391-408 (2005)] showed that the answer is n − 2. Here, we show that, for k ≥ 3 the answer is at least (3 /2 − ε)n. Concretely, we prove tha...

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Bibliographic Details
Main Authors: van Iersel, Leo, Jones, Mark, Weller, Mathias
Format: Article
Language:English
Published: Peer Community In 2024-06-01
Series:Peer Community Journal
Online Access:https://peercommunityjournal.org/articles/10.24072/pcjournal.419/
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