Course for international guest/part time students
- Faculty
- Faculty of Science
- Organization
- TTK Department of Operations Research
- Code
- polkom1u0um17em
- Title
- Polyhedral combinatorics (l)
- Usual semester
- Spring
- Published semester
- 2025/26/2
- ECTS
- 3
- Language
- en
- Learning outcomes
- Knowledge: getting familiar with the main notions and applications of polyhedral combinatorics Ability: to understand and use mathematical models based on polyhedral combinatorics Attitude: the need to deepen the applied mathematical knowledge, to gain new applied mathematical skills, to develop competencies. Aspiration to apply the mathematical knowledge for a wide range of problems Autonomy and Responsibility: based on the gained knowledge in polyhedral combinatorics, the students are able to decide which tools are the most suitable to solve applied problems
- Course content
- Total dual integrality. Convex hull of matchings. Polymatroid intersection theorem, submodular flows and their applications in graph optimization (Lucchesi and Younger theorem, Nash-Williams orientation theorem)
- Assessment method
- exam
- Bibliography
- lecture notes