1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.OC2023
Tropical convexity in location problems
Andrei Comăneci
We investigate location problems whose optimum lies in the tropical convex hull of the input points. Firstly, we study geodesically star-convex sets under the asymmetric tropical d…
math.MG2023
Breakdown points of Fermat-Weber problems under gauge distances
Andrei Comăneci, Frank Plastria
We compute the robustness of Fermat-Weber points with respect to any finite gauge. We show a breakdown point of where is the asymmetry measure of the gauge. We obtain…
math.CO2022★ 1 cited
Parametric Fermat-Weber and tropical supertrees
Andrei Comăneci, Michael Joswig
We study a parametric version of the Fermat-Weber problem with respect to an asymmetric distance function, which occurs naturally in tropical geometry. Our results yield a method f…