What is P and NP example?

What is P and NP example?

Thus if any one NP-Complete problem can be solved in polynomial time, then every NP-Complete problem can be solved in polynomial time, and every problem in NP can be solved in polynomial time (i.e. P=NP). The most famous example would be the Traveling Salesmen problem.

What is NP-complete with example?

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.

What is P and NP problem?

NP is set of problems that can be solved by a Non-deterministic Turing Machine in Polynomial time. P is subset of NP (any problem that can be solved by deterministic machine in polynomial time can also be solved by non-deterministic machine in polynomial time) but P≠NP.

What are some examples of NP problems?

The list below contains some well-known problems that are NP-complete when expressed as decision problems.

  • Boolean satisfiability problem (SAT)
  • Knapsack problem.
  • Hamiltonian path problem.
  • Travelling salesman problem (decision version)
  • Subgraph isomorphism problem.
  • Subset sum problem.
  • Clique problem.
  • Vertex cover problem.

What is P in algorithm?

In computational complexity theory, P, also known as PTIME or DTIME(n), is a fundamental complexity class. It contains all decision problems that can be solved by a deterministic Turing machine using a polynomial amount of computation time, or polynomial time.

Is chess NP or P?

For this reason games like chess cannot themselves be NP-complete, as they only have a finite (albeit unthinkably large) number of possible positions.

Is Sudoku An NP problem?

Introduction. The generalised Sudoku problem is an NP-complete problem which, effectively, requests a Latin square that satisfies some additional constraints. In addition to the standard requirement that each row and column of the Latin square contains each symbol precisely once, Sudoku also demands block constraints.

Is Sudoku NP or P?