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On the integrality gap of the maximum-cut semidefinite programming relaxation in fixed dimension (1808.02346v3)
Published 7 Aug 2018 in math.OC and cs.DS
Abstract: We describe a factor-revealing convex optimization problem for the integrality gap of the maximum-cut semidefinite programming relaxation: for each $n \geq 2$ we present a convex optimization problem whose optimal value is the largest possible ratio between the value of an optimal rank-$n$ solution to the relaxation and the value of an optimal cut. This problem is then used to compute lower bounds for the integrality gap.