Can we solve NP-hard problems in deterministic polynomial time?
Yes, many NP-hard problems (and indeed all NP-complete problems) can be solved in exponential time. Whether they can be solved efficiently (in polynomial time) is an open problem.
Is the set of problems that can be solved by a deterministic Turing machine in polynomial time?
Formally, P is the complexity class of decision problems that can be solved in polynomial time by a deterministic Turing machine. NP is the complexity class of decision problems that can be solved in a polynomial time by a non-deterministic Turing machine.
Which is the class of problems for which there is a deterministic polynomial time algorithm which computes a solution to the problem?
Solvable in polynomial time Defines decision problems that can be solved by a deterministic Turing machine (DTM) using a polynomial amount of computation time, i.e., its running time is upper bounded by a polynomial expression in the size of the input for the algorithm.
Is the class of decision problems that can be solved by non-deterministic polynomial?
_________ is the class of decision problems that can be solved by non-deterministic polynomial algorithms. Explanation: NP problems are called as non-deterministic polynomial problems. They are a class of decision problems that can be solved using NP algorithms.
Are undecidable problems NP-hard?
An NP-hard is a problem that is at least as hard as any NP-complete problem. Therefore an undecidable problem can be NP-hard. A problem is NP-hard if an oracle for it would make solving NP-complete problems easy (i.e. solvable in polynomial time).
Can all NP problems be solved in polynomial time?
If an NP-complete problem can be solved in polynomial time then all problems in NP can be solved in polynomial time. If a problem in NP cannot be solved in polynomial time then all problems in NP-complete cannot be solved in polynomial time. Note that an NP-complete problem is one of those hardest problems in NP.
Is NP-hard the same as 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 NP problems solvable?
The short answer is that if a problem is in NP, it is indeed solvable.
How NP-hard problems are different from NP-complete?
A non-deterministic Turing machine can solve NP-Complete problem in polynomial time….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. |
Which of the problems is not NP-hard?
Which of the following problems is not NP complete? Explanation: Hamiltonian circuit, bin packing, partition problems are NP complete problems. Halting problem is an undecidable problem.
Which of the problems is not NP hard?
Is a NP hard problem?
A problem is NP-hard if an algorithm for solving it can be translated into one for solving any NP- problem (nondeterministic polynomial time) problem. NP-hard therefore means “at least as hard as any NP-problem,” although it might, in fact, be harder.