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arXiv · 1808.02346

On the integrality gap of the maximum-cut semidefinite programming relaxation in fixed dimension

Fernando Mário de Oliveira Filho·Frank Vallentin
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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.

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Fernando Mário de Oliveira Filho, Frank Vallentin. 2020-08-05. On the integrality gap of the maximum-cut semidefinite programming relaxation in fixed dimension. https://doi.org/10.19086/da.14164

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