Algorithms and complexity for structured graph classes

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Many graph problems are NP-hard, which means that they cannot be solved in a reasonable amount of time even by a very fast computer. However, in many applications, such as scheduling and facility location, the structure of the situation guarantees that only certain graphs will arise. And sometimes it is possible to construct an efficient algorithm for an NP-hard problem if something is known in advance about the graphs that need to be handled. These observations motivate my research in algorithm design and problem complexity in classes of graphs. I study classes of graphs that arise in applications or that give insight into a problem's solution, and make use of their properties to design polynomial time algorithms or to prove that such algorithms are unlikely to exist. The goal is to understand the interplay between problems and graph properties, and to find efficient algorithms that work on large classes of graphs. This research adds to knowledge about problems and graphs, and has practical impact since graph algorithms form the basis of computer programs in diverse applications.**