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CS6515 EXAM 3 STUDY GUIDE QUESTIONS AND ANSWERS 2024
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CS6515 EXAM 3 STUDY GUIDE QUESTIONS AND ANSWERS 2024
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CS6515 EXAM 3 STUDY GUIDEWhat problems are known NP-Complete? - ANSWERS-1. Max-Independent-Set
2. Clique
3. Vertex Cover
4. SAT
5. 3SAT
6. Independent Set
What problems are known NP? - ANSWERS-
What problems are known P? - ANSWERS-
What is Vertex Cover? - ANSWERS-A set of vertices where every edge is
"covered".
-For every edge, at least one vertex is in the VC
How to prove a problem is NP-Complete? - ANSWERS-1. Prove the problem is in
NP
-Given problem and solution, Verify solution in Polynomial Time.
2. Prove problem is as hard as any NP-Complete problem. (K nown → New)
-Show reduction from known NP-Complete problem to this problem.
, -Use a problem similar to this one.
-Prove forward and backward implication.
What is Euler Path Problem? - ANSWERS-Find a PATH that contains each EDGE
exactly once.
-Can be solved in Polynomial Time
What is Rudrata Cycle problem? - ANSWERS-Find a CYCLE that visits each VERTEX
exactly once.
-No Known Polynomial Time algorithm
What is Rudrata Path problem? - ANSWERS-Same as Rudrata cycle except find a
PATH.
What is a P problem? - ANSWERS-P = Polynomial
-A problem that can be solved in Polynomial time.
-There is a Polynomial time algorithm to solve it.
What is a NP problem? - ANSWERS-NP = Non-Deterministically Polynomial
-A problem where the Solution can be VERIFIED in Polynomial-Time
What are differences in P and NP? - ANSWERS-All P problems are in NP but all NP
problems are not in P. P is a subset of NP.
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