Table of Contents
Can NP-hard problems be verified in polynomial time?
An NP-Hard problem is one that is not solvable in polynomial time but can be verified in polynomial time.
Can all NP problems be solved in exponential time?
Yes, every NP problem has an exponential-time algorithm.
How many conditions have to be met if an NP-complete problem is?
two conditions
How many conditions have to be met if an NP- complete problem is polynomially reducible? Explanation: A function t that maps all yes instances of decision problems D1 and D2 and t should be computed in polynomial time are the two conditions.
Can an NP problem be solved?
Although a solution to an NP-complete problem can be verified “quickly”, there is no known way to find a solution quickly. That is, the time required to solve the problem using any currently known algorithm increases rapidly as the size of the problem grows.
What problems are NP-complete?
NP-complete problem, any of a class of computational problems for which no efficient solution algorithm has been found. Many significant computer-science problems belong to this class—e.g., the traveling salesman problem, satisfiability problems, and graph-covering problems.
Is NP-hard in NP-complete?
A Problem X is NP-Hard if there is an NP-Complete problem Y, such that Y is reducible to X in polynomial time. NP-Hard problems are as hard as NP-Complete problems….Difference between NP-Hard and NP-Complete:
| NP-hard | NP-Complete |
|---|---|
| To solve this problem, it do not have to be in NP . | To solve this problem, it must be both NP and NP-hard problems. |
Are all NP-complete NP-hard?
“Each instance of an NP-complete problem is difficult.” Often some instances, or even most instances, may be easy to solve within polynomial time. However, unless P=NP, any polynomial-time algorithm must asymptotically be wrong on more than polynomially many of the exponentially many inputs of a certain size.
Which of the following can be used to define NP-complete class?
9. Which of the following can be used to define NP complexity class? Explanation: NP can be defined using deterministic turing machines as verifiers. 10.