Twelve faculty members in a mathematics department serve on the following committees: Undergraduate education: Sineman, Limitson, Axiomus, Functionini Graduate Education: Graphian, Vectorades, Functionini, Infinitescu Colloquium: Lemmeau, Randomov, Proofizaki . Library: Van Sum, Sineman, Lemmeau Staffing: Graphian, Randomov, Vectorades, Limitson Promotion: Vectorades, Van Sum, Parabolton The committees must all meet during the first week of classes, but there are only three time slots available. Using a graph coloring algorithm, find a schedule that will allow all faculty members to attend the meetings of all committees on which they serve. Write a pseudocode for the graph colouring algorithm.