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This lecture examines fine-grained complexity and hardness within polynomial time, focusing on running-time models, reductions, and conditional lower bounds for problems including graph diameter, clique, and context-free grammar parsing.
Syllabus
Introduction
Time Hierarchy Theorem
Strong Exponential Time Hypothesis
All pairs shortest paths
K clique problem
Contextfree grammar parsing
New hardness results
Finegrained complexity
Reductions
Contrapositive
Reduction algorithms
Open Question
Taught by
Ryan O'Donnell