AbstractDetermining the chromatic number of a graph is a difficult but important problem. Hence, it is not surprising that a variety of questions in Graph Theory concern the search for meaningful upper bounds for the chromatic number of certain families of graphs. One type of graph family that received considerable attention is that of H-free graphs, that is, the family of graphs G which do not...
Record: YesLevel: GraduateLanguage: EnglishPrerequisiteAbstractThe goal of this course is to give students an overview over the most fundamental concepts and results in modern graph theory.The topics which we plan to cover include: Basic notions: graphs, graph isomorphism, adjacency matrix, paths, cycles, connectivityTrees, spanning trees, Cayley's formula,Vertex and edge connectivity, 2-connec...