Towards Optimal Integrality Gaps for Hypergraph Vertex Cover in the Lovász-Schrijver Hierarchy
“Lift-and-project” procedures, which tighten linear relaxations over many rounds, yield many of the celebrated approximation algorithms of the past decade or so, even after only a constant number of rounds (e.g., for max-cut, max-3sat and sparsest-cut). Thus proving super-constant round lowerbounds...
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