Technical Report CS0059

TR#:CS0059
Class:CS
Title: On the Complexity of Timetable and Multi-commodity Flow Problems
Authors: S.Even, A.ltai and S.Shamir
PDFCS0059.pdf
Abstract: A very primitive version of Gotlieb's timetable problem is shown to be NP-complete, and therefore all the common timetable problems are NP-complete. A polynomial time algprithm, 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 integral flow problem is shown to be NP-complete even if the number of commodities is two. This is true both in the directed and undirected cases.
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