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Tropical medians by transportation

Published 29 Apr 2022 in math.CO, math.OC, and q-bio.PE | (2205.00036v2)

Abstract: Fermat-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.

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