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.

Name: Taking coursesThere is a set of courses with the starting and finishi
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Description: Taking coursesThere is a set of courses with the starting and finishing time of each. You want toknow, given a number K, if it's possible to take at least K courses. You cannotchoose any two overlapping courses. Prove that the problem is NP-complete

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.

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