Machine-based methods in parameterized complexity theory

نویسندگان

  • Yijia Chen
  • Jörg Flum
  • Martin Grohe
چکیده

We give machine characterizations of most parameterized complexity classes, in particular, of W[P], of the classes of the W-hierarchy, and of the A-hierarchy. For example, we characterize W[P] as the class of all parameterized problems decidable by a nondeterministic fixed-parameter tractable algorithm whose number of nondeterministic steps is bounded in terms of the parameter. The machine characterizations suggest the introduction of a hierarchy W between the W and the A-hierarchy. We study the basic properties of this hierarchy.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 339  شماره 

صفحات  -

تاریخ انتشار 2005