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Inapproximability of Combinatorial Optimization Problems

Inapproximability of Combinatorial Optimization Problems

This chapter contains sections titled: Introduction Some technical preliminaries Probabilistically checkable proofs Basic reductions Optimized reductions and PCP constructions An overview of known inapproximability results Integrality gap results Other topics Conclusions Prove optimal results for 2-query PCPs Settle the Unique Games Conjecture Prove a strong inapproximability result for Metric TSP …