Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, November 15, 2005, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Andreas Razen

Counting satisfying 2SAT Assignments

2SAT, the satisfiability problem of CNF formulas whose clauses contain at most two literals, is known to be solvable in polynomial time. However, its associated counting problem #2SAT of determining the number of satisfying assignments an (<= 2)-CNF formula can have, is #P-complete.

We describe a method for weighting formulas that allows improved running times of the form O(2^cn) with c < 1 (n being the number of variables involved) suppressing polynomial factors, with the best current bound due to Fürer and Kasiviswanathan.

Additionally, we give a subclass of #2SAT instances that is solvable in linear time O(n).

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