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theoretical-computer-science / Hardness of approximation

Sharp Hardness for MAX-3-CUT

Assuming the Unique Games Conjecture, it is NP-hard to approximate MAX-3-CUT better than the Frieze-Jerrum semidefinite program does, and similarly for Quantum MAX-CUT: the sharpness question in the Khot-Kindler-Mossel-O'Donnell line, connected to the Plurality is Stablest problem.

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theoretical-computer-scienceJul 31, 2026Significance 25/100Registry: unreviewed

Sharp Hardness for MAX-3-CUT

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Assuming the Unique Games Conjecture, it is NP-hard to approximate MAX-3-CUT better than the Frieze-Jerrum semidefinite program does, and similarly for Quantum MAX-CUT: the sharpness question in the Khot-Kindler-Mossel-O'Donnell line, connected to the Plurality is Stablest problem.

Source authenticatedSharp Hardness for MAX-3-CUT →
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Assuming the Unique Games Conjecture, it is NP-hard to approximate MAX-3-CUT better than the Frieze-Jerrum semidefinite program does, and similarly for Quantum MAX-CUT: the sharpness question in the Khot-Kindler-Mossel-O'Donnell line, connected to the Plurality is Stablest problem.

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Sharp Hardness for MAX-3-CUT — Mathematical Frontier Network