For several years the German Research Training Groups in computer science have met at Schloss Dagstuhl - the Leibniz Center for Informatics, the world's premier venue for research seminars in computer science. This joint workshop, funded by the Deutsche Forschungsgemeinschaft (DFG), aims to provide a platform for the exchange of knowledge and the discussion of research findings. Every year one Research Training Group is responsible for the planning and organization of this event. For the current workshop in 2010, this is done by the Research Training Group AlgoSyn from Aachen. In order to provide as much information as possible about the participating Research Training Groups every scholarship holder was asked to submit an abstract describing briefly his/her research topic. People who give a talk during the workshop got the opportunity to submit extended abstracts. Additionally, the Research Training Groups were invited to shortly introduce themselves.