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Preprint in the OpenAI Math release

A Direct Proof of Optimal Max-Cut Hardness

OpenAI

Abstract

We prove that approximating Max-Cut on simple unweighted graphs within any fixed factor greater than the Goemans–Williamson constant is NP-hard.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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