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There is a set of courses with the starting and finishing time of each. You want to know, given a number K, if it's possible to take at least K courses. You cannot choose any two overlapping courses. Prove that the problem is NP-complete, which means that choosing courses is indeed a difficult thing in our life. Use a reduction from the Independent set problem.

There is a set of courses with the starting and finishing time of each. You want to know, given a number K, if it's possible to take at least K courses. You cannot choose any two overlapping courses. Prove that the problem is NP-complete, which means that choosing courses is indeed a difficult thing in our life. Use a reduction from the Independent set problem.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterA: Appendix
SectionA.3: Inequalities
Problem 6E
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Taking courses There is a set of courses with the starting and finishing time of each. You want to know, given a number K, if it's possible to take at least K courses. You cannot choose any two overlapping courses. Prove that the problem is NP-complete, which means that choosing courses is indeed a difficult thing in our life. Use a reduction from the Independent set problem.
Transcribed Image Text:Taking courses There is a set of courses with the starting and finishing time of each. You want to know, given a number K, if it's possible to take at least K courses. You cannot choose any two overlapping courses. Prove that the problem is NP-complete, which means that choosing courses is indeed a difficult thing in our life. Use a reduction from the Independent set problem.
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