Karp's 21 NP-complete problems and Knapsack problem

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

Difference between Karp's 21 NP-complete problems and Knapsack problem

Karp's 21 NP-complete problems vs. Knapsack problem

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

Similarities between Karp's 21 NP-complete problems and Knapsack problem

Karp's 21 NP-complete problems and Knapsack problem have 5 things in common (in Unionpedia): Combinatorics, Computational complexity theory, Computer science, NP-completeness, Subset sum problem.

Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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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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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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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 Karp's 21 NP-complete problems and Knapsack problem have in common
What are the similarities between Karp's 21 NP-complete problems and Knapsack problem

Karp's 21 NP-complete problems and Knapsack problem Comparison

Karp's 21 NP-complete problems has 35 relations, while Knapsack problem has 49. As they have in common 5, the Jaccard index is 5.95% = 5 / (35 + 49).

References

This article shows the relationship between Karp's 21 NP-complete problems and Knapsack problem. To access each article from which the information was extracted, please visit:

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