By G. A. Neufeld, J. Tartar
Communications of the ACM,
August 1974,
Vol. 17 No. 8, Pages 450-453
10.1145/361082.361092
Comments
A necessary and sufficient condition is presented for the existence of a solution to the Gotlieb class-teacher timetable problem. Several relationships are established between the class-teacher timetable problem and graphs with preconditions. These preconditions place additional restrictions on the coloration of a graph. The preconditions correspond to the unavailability constraints and preassigned meetings in the class-teacher timetable problem. Using some recent results that convert graphs with preconditions to graphs without them, it is shown that the existence of a coloration of a graph is the required necessary and sufficient condition.
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