## 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, May 18, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Johann A. Makowsky (Technion, Haifa and ETH Zürich)

## Algorithms for SAT and #SAT for formulas of bounded tree width and clique width

We introduce formulas of bounded tree width and clique width and discuss the usefulness of these concepts in practical applications.

We show an algorithm which runs in time (4k)n arithmetic operations for formulas of tree width k and length n. Previous algorithms had a constant which was at least double exponential in k.

Similar results hold for formulas of bounded clique width.

(Joint work with E. Fischer and E. Ravve)

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