Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

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

Duration: This information is not available in the database

Location: CAB G51

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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