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

Date and Time: Tuesday, October 30, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Patrick Traxler

Constraint Systems and the Number of their Solutions

Constraint systems with domain size d and maximum constraint size k are a generalization of k-cnfs. The n variables can take values from a domain of size d which may be larger than 2. Let s be the number of solutions of a constraint system C. We show that the currently provable fastest algorithm of Feder & Motwani for deciding satisfiability of a constraint system with k = 2 is sensible to s. It has expected running time O(d!^(n-log_d(s))/d). We also treat derandomization issues for constraint systems without any constraint size restriction. We show that if either s = 0 or s/d^n >= 1 - r/|\C| for r > 1 then a deterministic algorithm of running time O(|C|^(r+2)) exists for deciding satisfiability.

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