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Trigonometric approximation of the Max-Cut polytope is star-like

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Abstract

The Max-Cut polytope appears in the formulation of many difficult combinatorial optimization problems. These problems can also be formulated as optimization problems over the so-called trigonometric approximation which possesses an algorithmically accessible description but is not convex. Hirschfeld conjectured that this trigonometric approximation is star-like. In this article, we provide a proof of this conjecture.

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Acknowledgements

This work was accomplished while the author was at an internship at Laboratoire Jean Kuntzmann, Université Grenoble-Alpes.

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  1. CentraleSupélec, Université Paris-Saclay, 91190, Gif-sur-Yvette, France

    Romain Ageron

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  1. Romain Ageron
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Correspondence to Romain Ageron.

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Ageron, R. Trigonometric approximation of the Max-Cut polytope is star-like. Optim Lett 16, 1963–1967 (2022). https://doi.org/10.1007/s11590-021-01842-w

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  • DOI: https://doi.org/10.1007/s11590-021-01842-w

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