In this course, we first introduce some basic concepts and notions of graph theory. We then present a series of graph theoretical problems with real world applications. Some of them are, unfortunately, hard to solve in general. Hence, in the rest of the course, we focus on solving these problems efficiently on classes of graphs that enjoy specific structural properties.

With this course, the students will get familiar with the basic notions and fundamental problems in graph theory. They will learn how to use these theoretical problems to model real world problems as well as how to solve them.