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This lecture introduces approximation guarantees and the complexity-theoretic foundations of hardness-of-approximation results. It uses Max-Cut, Max-3LIN, Maximum Independent Set, Max-K-Cover, and projection games as examples.
Syllabus
Introduction
Max Cuts On
Basic Decision
Maximum Independent Set
Max K Cover
Questions
Max Code
Key Definition
Approximation
Greedy algorithm
Best known algorithms
State of affairs
Unique games conjecture
Approximability results
Proof
Notation
More questions
Taught by
Ryan O'Donnell