Graph theory: the course presents the main concepts and results of graph theory. The program includes the following topics: properties of degrees and graphic sequences, isomorphisms and automorphisms, paths, cuts and connectivity, distance-based centrality indices, trees, Eulerian and Hamiltonian circuits, numbers associated with a graph and their relations, matrices associated with a graph and their properties. Some basic problems on graphs and related solution algorithms will also be presented.
Game theory: the course presents the assumptions and the basic concepts of game theory and the representations and main methods of analysis and solution for non-cooperative games.
