Abstract
AbstractFermat–Weber points with respect to an asymmetric tropical distance function are studied. It turns out that they correspond to the optimal solutions of a transportation problem. The results are applied to obtain a new method for computing consensus trees in phylogenetics. This method has several desirable properties; e.g., it is Pareto and co-Pareto on rooted triplets.
Funder
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics,Software
Cited by
2 articles.
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1. Tropical convexity in location problems;Mathematical Methods of Operations Research;2024-07-03
2. Tropical Logistic Regression Model on Space of Phylogenetic Trees;Bulletin of Mathematical Biology;2024-07-02