Combinatorial Optimization: Theory and Algorithms

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After an introduction to fundamental polyhedral concepts such as integer polyhedra and their connection to totally unimodular matrices, the course focuses on matroids and their connection to greedy algorithms. The last part of the course introduces expander graphs from a combinatorial optimization point of view. The course is mainly targeted to graduate students at KTH in computer science and mathematics, but also open for advanced undergraduate students.

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Combinatorial Optimization

The course is selfcontained, but it is beneficial to have basic knowledge of optimization problems and in particular linear programming as it was provided, for instance, in the course DD "Approximation Algorithms" given by Ola Svensson in Linear Programming Pages Korte, Bernhard et al. Integer Programming Pages Korte, Bernhard et al. Shortest Paths Pages Korte, Bernhard et al. Network Flows Pages Korte, Bernhard et al.

Combinatorial Optimization

Maximum Matchings Pages Korte, Bernhard et al. Weighted Matching Pages Korte, Bernhard et al. Matroids Pages Korte, Bernhard et al. Generalizations of Matroids Pages Korte, Bernhard et al.


  • Combinatorial Optimization: Theory and Algorithms (Algorithms and Combinatorics).
  • Combinatorial Optimization: Theory and Algorithms - Bernhard Korte, Jens Vygen - Google Livres?
  • 18.433 Combinatorial Optimization.
  • Hardcore Java.

Approximation Algorithms Pages Korte, Bernhard et al. Bin-Packing Pages Korte, Bernhard et al. Facility Location Pages Korte, Bernhard et al.

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

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  • ISBN 13: 9783540718437.
  • Mastering Meetings.

Linear Programming. Linear Programming Algorithms. Integer Programming.

Spanning Trees and Arborescences. Minimum Cost Flows. Maximum Matchings.

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Weighted Matching.