15 citations · 23 across the 5 of their papers we have counts for
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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…
math.CO2022★ 2 cited
Asymmetric tropical distances and power diagrams
Andrei Comăneci, Michael Joswig
We investigate the Voronoi diagrams with respect to an asymmetric tropical distance function, also for infinite point sets. These turn out to be much better behaved than the tropic…
math.CO2022★ 15 cited
Tropical medians by transportation
Andrei Comăneci, Michael Joswig
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. Th…