Publications in Scientific Journals:

D. Paulusma, S. Szeider:
"On the parameterized complexity of (k, s)-SAT";
Information Processing Letters, 134 (2019), 134; 34 - 36.

English abstract:
Let (k, s)-SAT be the k-SAT problem restricted to formulas in which each variable occurs in at most s clauses. It is well known that (3, 3)-SAT is trivial and (3, 4)-SAT is NP-complete. Answering a question posed by Iwama and Takaki (DMTCS 1997), Berman, Karpinski and Scott (DAM 2007) gave, for every fixed t≥0, a polynomial-time algorithm for (3, 4)-SAT restricted to formulas in which the number of variables that occur in four clauses is t. Parameterized by t, their algorithm runs in XP time. We extend their result by giving, for every k ≥3and s ≥k, an FPT algorithm for(k, s)-SAT when parameterized by the number t of variables occurring in more than k clauses.

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.