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Computational complexity theory and Optimization problem

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

Difference between Computational complexity theory and Optimization problem

Computational complexity theory vs. Optimization problem

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. In mathematics and computer science, an optimization problem is the problem of finding the best solution from all feasible solutions.

Similarities between Computational complexity theory and Optimization problem

Computational complexity theory and Optimization problem have 13 things in common (in Unionpedia): Computational problem, Counting problem (complexity), Decision problem, Feasible region, Function problem, Graph (discrete mathematics), Integer, Knapsack problem, NP (complexity), Operations research, Polynomial-time reduction, Time complexity, Travelling salesman problem.

Computational problem

In theoretical computer science, a computational problem is a mathematical object representing a collection of questions that computers might be able to solve.

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Counting problem (complexity)

In computational complexity theory and computability theory, a counting problem is a type of computational problem.

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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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Feasible region

In mathematical optimization, a feasible region, feasible set, search space, or solution space is the set of all possible points (sets of values of the choice variables) of an optimization problem that satisfy the problem's constraints, potentially including inequalities, equalities, and integer constraints.

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Function problem

In computational complexity theory, a function problem is a computational problem where a single output (of a total function) is expected for every input, but the output is more complex than that of a decision problem.

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Graph (discrete mathematics)

In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Knapsack 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.

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NP (complexity)

In computational complexity theory, NP (for nondeterministic polynomial time) is a complexity class used to describe certain types of decision problems.

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Operations research

Operations research, or operational research in British usage, is a discipline that deals with the application of advanced analytical methods to help make better decisions.

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Polynomial-time reduction

In computational complexity theory, a polynomial-time reduction is a method of solving one problem by means of a hypothetical subroutine for solving a different problem (that is, a reduction), that uses polynomial time excluding the time within the subroutine.

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Time complexity

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.

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Travelling salesman problem

The travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in operations research and theoretical computer science.

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The list above answers the following questions

Computational complexity theory and Optimization problem Comparison

Computational complexity theory has 164 relations, while Optimization problem has 48. As they have in common 13, the Jaccard index is 6.13% = 13 / (164 + 48).

References

This article shows the relationship between Computational complexity theory and Optimization problem. To access each article from which the information was extracted, please visit:

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