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math.AC2021
Classes of cut ideals and their Betti numbers
Jürgen Herzog, Masoomeh Rahimbeigi, Tim Römer
We study monomial cut ideals associated to a graph , which are a monomial analogue of toric cut ideals as introduced by Sturmfels and Sullivant. Primary decompositions, projecti…
math.CO2021★ 5 cited
Theorems of Carathéodory, Minkowski-Weyl, and Gordan up to symmetry
Dinh Van Le, Tim Römer
In this paper we extend three classical and fundamental results in polyhedral geometry, namely, Carathéodory's theorem, the Minkowski-Weyl theorem, and Gordan's lemma to infinite d…