When dealing with hard computational problems (NP-complete or worse), Scientists, Engineers and other users of software provided by Computer Scientists care most about how large a problem instance a particular method is able to solve in reasonable time. In this talk, we discuss the contributions and deficiencies of current fixed parameter tractability methods within this context.

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Dehne, F. (2006). FPT at work: Using fixed parameter tractability to solve larger instances of hard problems.