CS6515 EXAM 3 STUDY GUIDE | 2026 UPDATE | QUESTIONS AND ANSWERS | 100%
CORRECT
What is a P problem? - (ANSWER)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? - (ANSWER)NP = Non-Deterministically Polynomial
-A problem where the Solution can be VERIFIED in Polynomial-Time
What are differences in P and NP? - (ANSWER)All P problems are in NP but all NP problems are not in P.
P is a subset of NP.
-Problems may be verifiable in Polynomial-Time but not solvable in Polynomial-Time
What are NP-Complete Problems? - (ANSWER)The hardest problems in the NP class.
A problem is NP-Complete if it is in NP and in NP-Hard.
What are NP-Hard problems? - (ANSWER)A problem at least as hard as every problem in the class NP.
A problem is NP-Hard if all other problems in NP can be polynomially reduced to it.
NP-Hard problems don't have to be NP problems.
What is the difference between NP-Complete and NP-Hard? - (ANSWER)NP-Complete problems are the
hardest in the set NP.
NP-Hard is not necessarily in NP.
NP-Hard problems are at least as hard as everything in the set NP.
What is a clause edge? - (ANSWER)An edge between vertices in the same clause
What is a variable edge? - (ANSWER)An edge between complimentary vertices
- x and x' have a variable edge between them.
CORRECT
What is a P problem? - (ANSWER)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? - (ANSWER)NP = Non-Deterministically Polynomial
-A problem where the Solution can be VERIFIED in Polynomial-Time
What are differences in P and NP? - (ANSWER)All P problems are in NP but all NP problems are not in P.
P is a subset of NP.
-Problems may be verifiable in Polynomial-Time but not solvable in Polynomial-Time
What are NP-Complete Problems? - (ANSWER)The hardest problems in the NP class.
A problem is NP-Complete if it is in NP and in NP-Hard.
What are NP-Hard problems? - (ANSWER)A problem at least as hard as every problem in the class NP.
A problem is NP-Hard if all other problems in NP can be polynomially reduced to it.
NP-Hard problems don't have to be NP problems.
What is the difference between NP-Complete and NP-Hard? - (ANSWER)NP-Complete problems are the
hardest in the set NP.
NP-Hard is not necessarily in NP.
NP-Hard problems are at least as hard as everything in the set NP.
What is a clause edge? - (ANSWER)An edge between vertices in the same clause
What is a variable edge? - (ANSWER)An edge between complimentary vertices
- x and x' have a variable edge between them.