## What is the difference between P NP NP-hard and NP-complete?

NP-Complete problems are as hard as NP 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.
Do not have to be a Decision problem. It is exclusively a Decision problem.

### What is P NP and NP-complete?

What are NP, P, NP-complete and NP-Hard problems? P is set of problems that can be solved by a deterministic Turing machine in Polynomial time. NP is set of decision problems that can be solved by a Non-deterministic Turing Machine in Polynomial time. NP-complete problems are the hardest problems in NP set.

Is Class P and Class NP are one the same problems can P NP is possible?

P versus NP All problems in P can be solved with polynomial time algorithms, whereas all problems in NP – P are intractable. It is not known whether P = NP. However, many problems are known in NP with the property that if they belong to P, then it can be proved that P = NP.

What is the difference between P and NP classes?

P is the set of problems whose solution times are proportional to polynomials involving N’s. NP (which stands for nondeterministic polynomial time) is the set of problems whose solutions can be verified in polynomial time. But as far as anyone can tell, many of those problems take exponential time to solve.

## Can NP-hard be reduced to NP-complete?

(If P and NP are the same class, then NP-intermediate problems do not exist because in this case every NP-complete problem would fall in P, and by definition, every problem in NP can be reduced to an NP-complete problem.)

### Why is NP salesman hard?

In fact, TSP belongs to the class of combinatorial optimization problems known as NP-complete. This means that TSP is classified as NP-hard because it has no “quick” solution and the complexity of calculating the best route will increase when you add more destinations to the problem.

Is P A subset of NP?

P is a subset of NP because any non-deterministic machine can be used as a deterministic machine. A non-deterministic Turing machine may have a set of rules that prescribes more than one action for a given situation, but you can use only one action for a given situation if you wish.

What is NP complete?

Alternatively referred to as NP-C or NPC, NP-complete is a classification of problems in computer science that can be verified but not solved by a computer in a reasonable amount of time. The “NP” stands for “non-deterministic polynomial time,” and refers how long it would take a computer to verify that the problem is solved.

## What is P and NP?

P and NP are the two types of maths problems referred to: P problems are fast for computers to solve, and so are considered “easy”. NP problems are fast (and so “easy”) for a computer to check, but are not necessarily easy to solve. In 1956, Kurt Gödel wrote a letter to John von Neumann.

What is the difference between P NP NP-hard and NP-complete? NP-Complete problems are as hard as NP 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. Do not have to be a…