Approximation Algorithms Part II

Approximation Algorithms Part II

Course
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  • Fee-based Certificate
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  • 4 Sequences
  • Introductive Level

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Course details

Syllabus

  • Week 1 - Linear Programming Duality
    This module does not study any specific combinatorial optimization problem. Instead, it introduces a central feature of linear programming, duality.
  • Week 2 - 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.
  • Week 3 - 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.
  • Week 4 - 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.

Prerequisite

None.

Instructors

Claire Mathieu

Editor

The École normale supérieure (ENS) is an elite higher education institution (graduate school) for advanced undergraduate and graduate studies, and a prestigious French research center. It encompasses fifteen teaching and research departments, spanning the main humanities, sciences and disciplines. Unique among France’s grandes écoles for its training in the humanities and sciences, the ENS prepares its students for their role as future leaders in every imaginable professional field: in research, media, public service and private industry.

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