Is Travelling salesman problem NP-complete?
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.
What is the difference between NP-hard and NP-complete problems?
A problem X is NP-Complete if there is an NP problem Y, such that Y is reducible to X in polynomial time….Difference between NP-Hard and NP-Complete:
| NP-hard | NP-Complete |
|---|---|
| To solve this problem, 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 N and P NP-complete problems?
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-completeness applies to the realm of decision problems.
What does it mean for a problem to be NP-hard?
at least as hard as
Is chess an NP problem?
Generalized chess may be NP-hard. Chess has an 8×8 board, generalized chess has an nxn board with many pieces. There may be a “yes” answer and the certificate for NP might be a list of perfect moves for both players, but it’s intractable to check if those moves by black are actually perfect.
Are NP problems Decidable?
Remember P problems also fit the definition of NP, so…. There are certain NP-Hard problems that also exist in NP. They are decidable, verifiable in polynomial time and are a polynomial reduction of an NP problem.
What is the difference between P and NP problems?
P = the set of problems that are solvable in polynomial time by a Deterministic Turing Machine. NP = the set of decision problems (answer is either yes or no) that are solvable in nondeterministic polynomial time i.e can be solved in polynomial time by a Nondeterministic Turing Machine[4].
Are all P problems in NP?
If any NP-complete problem is in P, then it would follow that P = NP. However, many important problems have been shown to be NP-complete, and no fast algorithm for any of them is known.
Under which situation a problem belongs to the class NP?
The problem of determining whether there exists a cycle in an undirected graph is in NP. 3. If a problem A is NP-Complete, there exists a non-deterministic polynomial time algorithm to solve A. Suppose a polynomial time algorithm is discovered that correctly computes the largest clique in a given graph.
What happens when backtracking algorithm reaches a complete solution?
3. What happens when the backtracking algorithm reaches a complete solution? Explanation: When we reach a final solution using a backtracking algorithm, we either stop or continue searching for other possible solutions.
What are tractable and non tractable problems?
Tractable Problem: a problem that is solvable by a polynomial-time algorithm. The upper bound is polynomial. Intractable Problem: a problem that cannot be solved by a polynomial-time al- gorithm. The lower bound is exponential.
Which of the following is a P complete type of problem?
Which of the following is a P-complete type of problem? Explanation: Given a context free grammar and a string, can the string be generated by the grammar? Such problems fall in the category of P-complete. 9.
Which of the following are decidable problems?
Answer
- This is a variation of Turing Machine Halting problem and it is undecidable.
- CFL are not closed under complement so it is undecidable.
- Complement of Regular languages is also regular.
- Recursvie language are closed under complement,so it is decidable.