Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, April 24, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Dominik Scheder

Unsatisfiable Linear k-CNF Formulas

Call a CNF formula linear if no two clauses have two or more variables in common. For example {{x,y}, {~x,z}, {~y,~z}} is linear, but {{u,v}, {~u,w}, {u,~w}} is not.

It is not obvious whether for any k there exist unsatisfiable linear k-CNFs. In this talk, I will show that they do exist, and derive some upper and lower bounds on the size of such formulas. The upper bound is obtained using a standard probabilistic argument, while we prove a lower bound using repeated application of the Lovasz Local Lemma.

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