Assume that there are six final exam to be scheduled at a university. Suppose that the courses are numbered from 1 to 6. Supoose that the following pairs of courses have common students: 1 and 2, 1 and 5, 2 and 3, 3 and 4, 3 and 6, 4 and 5, 4 and 6, 5 and 6. The planning Office wants to Schedule exams so that no student has two exams at the same time. What is the smallest number of time slots that are necessary to achieve this?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Assume that there are six final exam to be scheduled at a university. Suppose that the courses are numbered from 1 to 6. Supoose that the following pairs of courses have common students: 1 and 2, 1 and 5, 2 and 3, 3 and 4, 3 and 6, 4 and 5, 4 and 6, 5 and 6. The planning Office wants to Schedule exams so that no student has two exams at the same time. What is the smallest number of time slots that are necessary to achieve this?
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