Linear Programming DualityExplores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.
Approximation AlgorithmsCovers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Optimal Decision AnalysisExplores strong duality, complementary slackness, economic interpretation, and stochastic problem scenarios in linear programming.
Convexity of Lovász ExtensionExplores the convexity of Lovász extension and submodular function maximization, focusing on extending functions to convex sets and proving their convexity.