Fajarv: P Np Np Complete

P Np Np Complete

Np complete problems are a set of problems to each of which any other np problem can be reduced in polynomial time and whose solution may still be verified in polynomial. If a language satisfies the second property but not necessarily the first one the language b is known as np hard.

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Now suppose we have a np complete problem r and it is reducible to q then q is at least as hard as r and since r is an np hard problem.

P np np complete. Informally a search problem b is np hard if there exists some np complete problem a that turing reduces to b. The problem in np hard. To attack the p np question the concept of np completeness is very useful.

So i thought of explaining them in an easy way. Np complete the group of problems which are both in np and np hard are known as np complete problem. It is like saying there are things that people can do p there are things that superpeople can do sp and there are things only superpeople can do sp complete.

Therefore q will also be at least np hard it may be np complete also. Np complete is a special category of np problems that have time complexities greater than polynomial time are verifiable in polynomial time and belong to a set of problems known as np hard. What are np p np complete and np hard problems.

It might be because of the name but many graduate students find it difficult to understand np problems. P is set of problems that can be solved by a deterministic turing machine in p olynomial time. It is not known whether every problem in np can be quickly solvedthis is called the p versus np problem.

A problem p in np is np complete if every other problem in np can be transformed or reduced into p in polynomial time. Every a in np is polynomial time reducible to b. Np is set of decision problems that can be solved by a n on deterministic turing machine in p olynomial time.

Can be solved in p olynomial time only using a n on deterministic method.

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