The article discusses the facet analysis of lifted multicut polytopes, focusing on lower cube inequalities and cut inequalities. It addresses necessary, sufficient, and efficiently decidable conditions for defining facets in these polytopes. The content is structured into sections covering the introduction, related work, preliminaries, characterization of lower cube facets, and NP-hardness of deciding cut facets. Key insights include the application of linear programming algorithms to understand convex hulls and polytopes in real affine spaces.
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by Lucas Fabian... alle arxiv.org 03-20-2024
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