arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2107.00574math.OC
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最大割多面体的三角逼近是星形的

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

Romain Ageron

摘要:

最大割多胞形出现在许多困难的组合最优化问题的表述中。这些问题也可以用公式表示为所谓的三角逼近上的最优化问题,三角逼近具有算法上可访问的描述,但不是凸的。赫希菲尔德指出,这种三角逼近是星形的。在这篇文章中,我们提供了一个证明这个猜想。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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