English

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

Optimization and Control 2022-02-04 v1

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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Cite

@article{arxiv.2107.00574,
  title  = {Trigonometric approximation of the Max-Cut Polytope is star-like},
  author = {Romain Ageron},
  journal= {arXiv preprint arXiv:2107.00574},
  year   = {2022}
}

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3 pages, 0 figures