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arXiv · 2205.00036

Tropical medians by transportation

Andrei Comăneci·Michael Joswig
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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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Andrei Comăneci, Michael Joswig. 2023-02-14. Tropical medians by transportation. https://doi.org/10.1007/s10107-023-01996-8

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