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math.OC2023
On Matrices over a Polynomial Ring with Restricted Subdeterminants
Marcel Celaya, Stefan Kuhlmann, Robert Weismantel
This paper introduces a framework to study discrete optimization problems which are parametric in the following sense: their constraint matrices correspond to matrices over the rin…
math.CO2023
Integer Carathéodory results with bounded multiplicity
Stefan Kuhlmann
The integer Carathéodory rank of a pointed rational cone is the smallest number such that every integer vector contained in is an integral non-negative combination of a…