Research and Advances
Artificial Intelligence and Machine Learning

Graph coloring conditions for the existence of solutions to the timetable problem

Posted

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.

View this article in the ACM Digital Library.

Join the Discussion (0)

Become a Member or Sign In to Post a Comment

The Latest from CACM

Shape the Future of Computing

ACM encourages its members to take a direct hand in shaping the future of the association. There are more ways than ever to get involved.

Get Involved

Communications of the ACM (CACM) is now a fully Open Access publication.

By opening CACM to the world, we hope to increase engagement among the broader computer science community and encourage non-members to discover the rich resources ACM has to offer.

Learn More