W-hardness under linear FPT-reductions: Structural properties and further applications
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The notion of linear fpt-reductions has been recently used to derive strong computational lower bounds for well-known NP-hard problems. In this paper, we formally investigate the notions of W[t]-hardness and W[t]-completeness under the linear fpt-reduction, and study structural properties of the corresponding complexity classes. Additional complexity lower bounds on important computational problems are also established. Springer-Verlag Berlin Heidelberg 2005.