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Approximation Algorithms Part II

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  • Linear Programming Duality
    • This module does not study any specific combinatorial optimization problem. Instead, it introduces a central feature of linear programming, duality.
  • Steiner Forest and Primal-Dual Approximation Algorithms
    • This module uses linear programming duality to design an algorithm for another basic problem, the Steiner forest problem.
  • Facility Location and Primal-Dual Approximation Algorithms
    • This module continues teaching algorithmic applications of linear programming duality by applying it to another basic problem, the facility location problem.
  • Maximum Cut and Semi-Definite Programming
    • We introduce a generalization of linear programming, semi-definite programming.This module uses semi-definite programming to design an approximation algorithm for another basic problem, the maximum cut problem.