The course treats more advanced topics in the theory of matchings and colourings of graphs, and introduces several additional topics in advanced graph theory. In the theory of matchings, minimax theorems, and stable matchings in bipartites graphs are treated, along with Tutte's theorem on matchings and the flower algorithm for finding perfect matchings in general graphs. In graph colouring theory, the structure of graphs with a certain chromatic number is studied, and special classes where colouring problems can be solved efficiently are studied. Further topics in the course includes Ramsey theory, random graphs, and eigenvalues of graphs.
The course requires 90 ECTS including a basic course in Graph Theory minimum 7,5 ECTS.
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Please note: This application round is intended only for applicants within the EU/EEA and Switzerland.
Online application service in Swedish will open 15 September 2021 at 13:00 CET.
Application deadline is
15 October 2021. How to apply
Application and tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.