We propose a general proof technique based on the Turing machine halting problem that allows us to establish membership results for the classes W[1], W[2], and W[P]. Using this technique, we prove that Perfect Code belongs to W[1], Steiner Tree belongs to W[2], and α-Balanced Separator, Maximal Irredundant Set, and Bounded DFA Intersection belong to W[P].

Cesati, M. (2003). The Turing way to parameterized complexity. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 67(4), 654-685 [10.1016/S0022-0000(03)00073-4].

The Turing way to parameterized complexity

Cesati M.
2003-12-01

Abstract

We propose a general proof technique based on the Turing machine halting problem that allows us to establish membership results for the classes W[1], W[2], and W[P]. Using this technique, we prove that Perfect Code belongs to W[1], Steiner Tree belongs to W[2], and α-Balanced Separator, Maximal Irredundant Set, and Bounded DFA Intersection belong to W[P].
dic-2003
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/05 - SISTEMI DI ELABORAZIONE DELLE INFORMAZIONI
English
Halting problem
Parameterized complexity
Turing machine
W-class membership
https://www.sciencedirect.com/science/article/pii/S0022000003000734/pdf?md5=d392f8eff19fd47a18ab14e95c67983c&pid=1-s2.0-S0022000003000734-main.pdf
Cesati, M. (2003). The Turing way to parameterized complexity. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 67(4), 654-685 [10.1016/S0022-0000(03)00073-4].
Cesati, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/260217
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