This paper introduces a polyhedral study of the graph multi-separator problem, proposed as an alternative to the lifted multicut problem for image segmentation. The authors characterize facets of the multi-separator polytope induced by integer linear programming inequalities and explore stronger inequalities. They also establish a totally dual integral description for paths and relate the multi-separator polytope to the boolean quadric polytope and the lifted multicut polytope. AI
IMPACT This research could lead to improved methods for image segmentation by offering a new approach to graph partitioning problems.
RANK_REASON The cluster contains a single academic paper detailing a new polyhedral study of a graph problem. [lever_c_demoted from research: ic=1 ai=0.4]
- boolean quadric polytope
- graph multi-separator problem
- image segmentation
- integer linear programming
- Irmai et al.
- lifted multicut problem
- multi-separator polytope
- Paths
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