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Time complexity and Travelling salesman problem

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

Difference between Time complexity and Travelling salesman problem

Time complexity vs. Travelling salesman problem

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

Similarities between Time complexity and Travelling salesman problem

Time complexity and Travelling salesman problem have 16 things in common (in Unionpedia): Alexander Schrijver, Approximation algorithm, Brute-force search, Complexity class, Computational complexity theory, Computer science, Decision problem, Dynamic programming, Exponential time hypothesis, Graph (discrete mathematics), Linear programming, Matching (graph theory), NP-completeness, NP-hardness, P versus NP problem, Time complexity.

Alexander Schrijver

Alexander (Lex) Schrijver (born 4 May 1948 in Amsterdam) is a Dutch mathematician and computer scientist, a professor of discrete mathematics and optimization at the University of Amsterdam and a fellow at the Centrum Wiskunde & Informatica in Amsterdam.

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Approximation algorithm

In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to NP-hard optimization problems with provable guarantees on the distance of the returned solution to the optimal one.

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Brute-force search

In computer science, brute-force search or exhaustive search, also known as generate and test, is a very general problem-solving technique that consists of systematically enumerating all possible candidates for the solution and checking whether each candidate satisfies the problem's statement.

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Complexity class

In computational complexity theory, a complexity class is a set of problems of related resource-based complexity.

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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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Dynamic programming

Dynamic programming is both a mathematical optimization method and a computer programming method.

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Exponential time hypothesis

In computational complexity theory, the exponential time hypothesis is an unproven computational hardness assumption that was formulated by.

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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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Linear programming

Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.

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Matching (graph theory)

In the mathematical discipline of graph theory, a matching or independent edge set in a graph is a set of edges without common vertices.

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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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P versus NP problem

The P versus NP problem is a major unsolved problem in computer science.

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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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The list above answers the following questions

Time complexity and Travelling salesman problem Comparison

Time complexity has 136 relations, while Travelling salesman problem has 137. As they have in common 16, the Jaccard index is 5.86% = 16 / (136 + 137).

References

This article shows the relationship between Time complexity and Travelling salesman problem. To access each article from which the information was extracted, please visit:

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