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unique-games-conjecture

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big-brain-zaru / games-conjecture

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Certified computational study of the gap shape of degree-4 sum-of-squares relaxations of unique games. A null result on the main question, two proved theorems on Paley graphs, and a structural determination of the degree-4 extension. Fully reproducible: 132 checks, 0 mismatches.

reproducible-research theoretical-computer-science semidefinite-programming computational-complexity sum-of-squares polynomial-optimization approximation-algorithms max-cut cayley-graphs negative-results unique-games-conjecture certified-computation integrality-gap lasserre-hierarchy paley-graphs
  • Updated Sep 18, 2026
  • Python

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