401-3052-10L Graph Theory
|Semester||Spring Semester 2016|
|Periodicity||yearly recurring course|
|Language of instruction||English|
|Abstract||Basics, Spanning trees, Caley formula, Matrix tree theorem, Connectivity, Maders and Mengers theorems, Euleraing graphs, Hamilton cycle, Theorems of Dirac, Ore, Erdos-Chvatal, Matchings theorem of Hall, Konig, Tutte, Planar graph, Euler's formula, Kuratowski theorem, Graph colorings, Brooks theorem, 5-colorings of planar graphs, List colorings, Vizing theorem, Ramsey theory, Turan theorem|
|Objective||The students will get an overview over the most fundamental questions concerning graph theory. We expect them to understand the proof techniques and to use them autonomously on related problems.|
|Lecture notes||Lecture will be only at the blackboard.|
|Literature||West, D.: "Introduction to Graph Theory"|
Diestel, R.: "Graph Theory"
Further literature links will be provided in the lecture.