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What are steps required to prove that a decision problem is NP-complete?

Posted on November 19, 2022 by Author

Table of Contents

  • 1 What are steps required to prove that a decision problem is NP-complete?
  • 2 What is a NP complete problem how you can prove a problem is NP-complete?
  • 3 How many steps are required to prove that a decision problem is?
  • 4 How do you know if a problem is NP?
  • 5 Which of the following case does not exist in complexity theory?

What are steps required to prove that a decision problem is NP-complete?

How many steps are required to prove that a decision problem is NP complete? Explanation: First, the problem should be NP. Next, it should be proved that every problem in NP is reducible to the problem in question in polynomial time.

What is a NP complete problem how you can prove a problem is NP-complete?

The idea is to take a known NP-Complete problem and reduce it to L. If polynomial time reduction is possible, we can prove that L is NP-Complete by transitivity of reduction (If a NP-Complete problem is reducible to L in polynomial time, then all problems are reducible to L in polynomial time).

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Are all NP problems decision problems?

NP-complete problems are in NP, the set of all decision problems whose solutions can be verified in polynomial time; NP may be equivalently defined as the set of decision problems that can be solved in polynomial time on a non-deterministic Turing machine.

How many steps are required to prove that a decision problem is?

Q. How many steps are required to prove that a decision problem is NP complete?
C. 3
D. 4
Answer» b. 2
Explanation: first, the problem should be np. next, it should be proved that every problem in np is reducible to the problem in question in polynomial time.

How do you know if a problem is NP?

A decision problem is in NP if there exists a polynomial time verification algorithm C(I,S) that takes both an input and a proposed solution, and verified whether the solution is ok, and satisfies the following properties: 1.

How do you prove that a language is NP-complete?

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To prove that some language L is NP-complete, show that L ∈ NP, then reduce some known NP-complete problem to L. Do not reduce L to a known NP-complete problem. We already knew you could do this; every NP problems is reducible to any NP-complete problem!

Which of the following case does not exist in complexity theory?

1. Which of the following case does not exist in complexity theory? Explanation: Null case does not exist in complexity Theory.

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