1. Use Graph coloring to solve one of the following problems (each group must be assigned a different problem by the course teacher):

• Exam scheduling.
• Traffic light management.
• Radio stations frequencies.
• Class scheduling. this is our problem

Note: check Appendix - Part 4.1for the detailed descriptionof the problems.

HCT needs to schedule the following classes so that no classes can be at the same time if they are being taught by the same teacher or they have common students.

• CIS3003
• CIS1103
• CIS1203
• CIS1303
• CIS1403
• CIS3303
• CIS2403
• CIS2303
• CIS3403

You need to consider the following:

• All 1000 level classes' students have students in common.
• All 2000 level classes' students have students in common.
• All 3000 level classes' students have students in common.
• CIS3003 and CIS 1403 are taught by Dr. Rula.
• CIS1103 and CIS2403 are taught by Dr. Saleel.
• CIS 1303 and CIS3403 are taught by Dr. Thair.

Use your knowledge in Graph coloring to solve this problem, create the schedule and identify how many time slots will be needed to schedule the classes.

Note: we need a graph coloring here