Titlebook: Algorithms and Computation; 11th International C Gerhard Goos,Juris Hartmanis,Shang-Hua Teng Conference proceedings 2000 Springer-Verlag Be

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Constructive Linear Time Algorithms for Small Cutwidth and Carving-Width of Robertson and Seymour imply (non-constructively) that . these problems are fixed parameter tractable. In this paper we give a .. of this fact. Moreover, the algorithms of our proof are optimal and able to output the corresponding pair (.) in case of an affirmative answer.

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B. J. R. Whittle,J. Lopez-Belmontehen its assumption set consists of all propositional literals (i.e., an answer for a given query is allowed to include any positive literals), and show that it can be done in polynomial time if the knowledge-base is Horn, while it remains NP-complete for the general case. Some other solvable cases are also discussed.

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