Shelby Cox

collaborators

2 papers

math.CO2025

Tropical Fermat-Weber Points over Spaces of $M$ -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…

math.CO2025

The tropical polytope is the set of all weighted tropical Fermat-Weber points

Shelby Cox, Mark Curiel

Let $v_{1}, \dots, v_{m}$ be points in a metric space with distance $d$ , and let $w_{1}, \dots, w_{m}$ be positive real weights. The weighted Fermat-Weber points are those…

Tropical Fermat-Weber Points over Spaces of M-Ultrametrics

The tropical polytope is the set of all weighted tropical Fermat-Weber points

Tropical Fermat-Weber Points over Spaces of $M$ -Ultrametrics