A polyhedral study of lifted multicuts

Fundamental to many applications in data analysis are the decompositions of a graph, i.e. partitions node set into component-inducing subsets. One way encoding is by multicuts, subsets those edges that straddle distinct components. Recently, lifting multicuts from graph G=(V,E) an augmented Ĝ=(V,E∪F) has been proposed field image analysis, with goal obtaining more expressive characterization which it made explicit also for pairs F⊆V2∖E non-neighboring nodes whether these same or In this work, we study detail polytope RE∪F whose vertices precisely characteristic vectors Ĝ lifted G, connecting it, particular, rich body prior work on clique partitioning and multilinear polytope.