Connections between semidefinite relaxations of the max-cut and stable set problems

作者: Monique Laurent , Svatopluk Poljak , Franz Rendl

DOI: 10.1007/BF02614436

关键词: Theta functionConnection (vector bundle)Maximum cutCombinatoricsRelaxation (approximation)MathematicsSemidefinite programmingPolyhedronIndependent setDiscrete mathematicsRegular polygon

摘要: We describe links between a recently introduced semidefinite relaxation for the max-cut problem and well known stable set underlying Lovasz's theta function. It turns out that connection convex bodies defining relaxations mimics existing corresponding polyhedra. also show how can be combined with classical linear in order to obtain tighter relaxations.

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