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from Part II - Concepts and Techniques
Published online by Cambridge University Press: 18 April 2019
In this chapter we introduce the parameterized analogues of \pt\ and \np, namely, \fpt and other complexity classes such as \wone, \wtwo, and \xp\ comprising with \fpt\ the \whi-hierarchy, and the formal notions of \whi-hardness and \whi-completeness. We describe why \whi-hard parameterized problems are considered to be fixed-parameter intractable (i.e., not computable in fixed-parameter tractable time). We explain how one can prove that a problem is a member of a class in the \whi-hierarchy, and how one can use the technique of parameterized reduction, introduced and practiced in Chapter 6, to prove \whi-hardness and \whi-completeness.
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