SUBJECT

Title

Graph theory

Type of instruction

lecture

Level

master

Part of degree program
Credits

3

Recommended in

Semesters 1-4

Typically offered in

Autumn/Spring semester

Course description

Graph orientations, connectivity augmentation. Matchings in not necessarily bipartite graphs, T-joins. Disjoint trees and arborescences. Disjoint paths problems. Colourings, perfect graphs.

Readings

András Frank: Connections in combinatorial optimization (electronic notes).

Further reading:

  • W.J. Cook, W.H. Cunningham, W.R. Pulleybank, and A. Schrijver, Combinatorial Optimization, John Wiley and Sons,  1998.
  • R. Diestel, Graph Theory, Springer Verlag, 1996.
  • A. Schrijver, Combinatorial Optimization: Polyhedra and efficiency, Springer, 2003. Vol. 24 of the series Algorithms and Combinatorics.