Mathematical induction and its application.
Revision and extension of secondary-school combinatorics. Inclusion and exclusion principle.
Basic notions of graph theory and their application. Cycles, trees, skeletons. Unicoursal drawing. Planar graphs and maps. Graph colouring.
Revision and extension of high-school combinatorics. Principle of inclusion and exclusion.
Graphs, cycles, trees, skeletons. Unicoursal drawing, mazes. Planar graphs and maps. Colouring of graphs. Applications.