cs.DM · 2026-08-18 · No. 88
Discrete Mathematics, 2026-08-18.
1 new papers in cs.DM. Titles, authors,
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01 — The papers
1 entries-
01
The canonical facets of multi-separator polytopes
Bjoern Andres, Silvia Di Gregorio, Jannik Irmai, Lucas Fabian Naumann, Shengxian Zhao
cs.DM · cs.LG · math.CO
We initiate a polyhedral study of the graph multi-separator problem proposed by Irmai et al. (2024) as an alternative to the lifted multicut problem for application to the task of image segmentation. Starting with an integer linear program (ILP) formulation and the multi-separator polytope spanned by its feasible solutions, we characterize in terms of efficiently-decidable, graph-theoretic conditions all facets induced by inequalities of the...
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