Abstract
Parameterized Complexity is a new and increasingly popular theoretical framework for the rigorous analysis of NP-hard problems and the development of algorithms for their solution. The framework provides adequate concepts for taking structural aspects of problem instances into account. We outline the basic concepts of Parameterized Complexity and survey some recent parameterized complexity results on problems arising in Constraint Satisfaction and Reasoning.
Research supported by the European Research Council, grant reference 239962 (COMPLEX REASON). This survey was written in 2011, some references where updated in 2013.
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Szeider, S. (2013). The Parameterized Complexity of Constraint Satisfaction and Reasoning. In: Tompits, H., et al. Applications of Declarative Programming and Knowledge Management. INAP WLP 2011 2011. Lecture Notes in Computer Science(), vol 7773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41524-1_2
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