Technical Report CS0041

Title: On The Complexity Of Timetable And Integral Multi-commodity Plow Problems
Authors: S.Even and A. Shamir
Abstract: A very primitive version of Got1ieb's timetable problem is shown to be NP-complete, and therefore all the common timetable problems are NP-complete. A polynomial time algorithm, in case all teachers are binary, is shown. The theorem that a meeting function always exists if all teachers and classes have no time constraints is proved. The multi-commodity problem is shown to be NP-complete even if the number of commodities is 3. This is true both in the directed and undirected cases. Finally, a simple reduction to the 3 dimensional matching problem is given.
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