Tropical medians by transportation

Author:

Comăneci AndreiORCID,Joswig Michael

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. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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

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