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arXiv · 2107.00574

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

Romain Ageron
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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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Romain Ageron. 2021-06-29. Trigonometric approximation of the Max-Cut Polytope is star-like. https://doi.org/10.1007/s11590-021-01842-w

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