Research Institute for Discrete Mathematics

Lecture Course "Combinatorial Optimization"

Winter Term 2018/19


This is the introductory module in area C (Discrete Mathematics) of the Master's Programme in Mathematics. It is also an introductory module in the area "Algorithmics" of the Master's Programme in Computer Science. This course should be attended by beginning master's students (unless they focus on other areas). Basic knowledge in combinatorial algorithms, in particular graphs, network flows, and linear programming, is required.

This course covers the following topics: connectivity in graphs, Gomory-Hu trees, nonbipartite matching, Edmonds' weighted matching algorithm, generalized matching problems, T-joins and T-cuts, submodular functions, network design, traveling salesman problem, polyhedral combinatorics. Some additional topics may be covered as well, including very recent results.

This course is in English. Most of it will be based on the following book:

Other recommendable books: These books (and many others) are available in our library.


First course: Thursday, October 11 (there is no class on October 9)
Class Hours: Tuesdays and Thursdays 2-4 pm (14:15-15:45)
Exercise Classes: Mondays 6 pm, see here
Room: Gerhard-Konow-Hörsaal (in the Arithmeum building, Lennéstr. 2)
Exams: oral, to be scheduled, probably February 11-12 and March 25-26.


Prof. Dr. J. Vygen