Knapsack problem and P versus NP problem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Knapsack problem and P versus NP problem

Knapsack problem vs. P versus NP problem

The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. The P versus NP problem is a major unsolved problem in computer science.

Similarities between Knapsack problem and P versus NP problem

Knapsack problem and P versus NP problem have 9 things in common (in Unionpedia): Big O notation, Computational complexity theory, Computer science, Decision problem, Karp's 21 NP-complete problems, NP-completeness, NP-hardness, Public-key cryptography, Subset sum problem.

Big O notation

Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.

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Computational complexity theory

Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.

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Computer science

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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Karp's 21 NP-complete problems

In computational complexity theory, Karp's 21 NP-complete problems are a set of computational problems which are NP-complete.

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NP-completeness

In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.

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NP-hardness

NP-hardness (''n''on-deterministic ''p''olynomial-time hardness), in computational complexity theory, is the defining property of a class of problems that are, informally, "at least as hard as the hardest problems in NP".

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Public-key cryptography

Public-key cryptography, or asymmetric cryptography, is any cryptographic system that uses pairs of keys: public keys which may be disseminated widely, and private keys which are known only to the owner.

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Subset sum problem

In computer science, the subset sum problem is an important problem in complexity theory and cryptography.

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The list above answers the following questions

What Knapsack problem and P versus NP problem have in common
What are the similarities between Knapsack problem and P versus NP problem

Knapsack problem and P versus NP problem Comparison

Knapsack problem has 49 relations, while P versus NP problem has 146. As they have in common 9, the Jaccard index is 4.62% = 9 / (49 + 146).

References

This article shows the relationship between Knapsack problem and P versus NP problem. To access each article from which the information was extracted, please visit:

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