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math.CO2025
Many rays of the submodular cone
Georg Loho, Arnau Padrol, Germain Poullot
The study of the cone of submodular functions goes back to Jack Edmonds' seminal 1970 paper, which already highlighted the difficulty of characterizing its extreme rays. Since then…
math.CO2022★ 1 cited
Tropical Positivity and Determinantal Varieties
Marie-Charlotte Brandenburg, Georg Loho, Rainer Sinn
We initiate the study of positive-tropical generators as positive analogues of the concept of tropical bases. Applying this to the tropicalization of determinantal varieties, we de…