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math.CO2026
Tropical Fermat--Weber Problems over Non-Finite Data and their Inverse Formulations
John Sabol, Ruriko Yoshida
The term tropical pseudonorm refers to a family of (not necessarily symmetric) gauge functions that arise in tropical or idempotent geometry. An important characteristic of these g…
math.CO2026
Tropical Fermat-Weber Polytropes
John Sabol, David Barnhill, Ruriko Yoshida +1
We study the geometry of tropical Fermat--Weber points, that is, optimal solutions to a location problem over a projective space using a dissimilarity measure derived from the trop…
math.CO2025
Tropical Fermat-Weber Points over Spaces of -Ultrametrics
Shelby Cox, John Sabol, Roan Talbut +1
We extend reconstruction methods for phylogenetic trees to ultrametrics of arbitrary matroids and study the stability of these data analysis methods in the combinatorial spirit of…