66 citations · 568 across the 67 of their papers we have counts for
75 papers
Polyhedral Geometry in OSCAR
Taylor Brysiewicz, Michael Joswig
OSCAR is an innovative new computer algebra system which combines and extends the power of its four cornerstone systems - GAP (group theory), Singular (algebra and algebraic geomet…
Some thoughts and experiments on Bergman's compact amalgamation problem
Michael Joswig, Mario Kummer, Andreas Thom +1
We study the question whether copies of in can be amalgamated in a compact group. This is the simplest instance of a fundamental open problem in the theory o…
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…
The Polyhedral Geometry of Truthful Auctions
Michael Joswig, Max Klimm, Sylvain Spitz
The difference set of an outcome in an auction is the set of types that the auction mechanism maps to the outcome. We give a complete characterization of the geometry of the differ…
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…
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…