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Approximation-preserving reduction

In computability theory and computational complexity theory, especially the study of approximation algorithms, an approximation-preserving reduction is an algorithm for transforming one optimization problem into another problem, such that the distance of solutions from optimal is preserved to some degree. Approximation-preserving reductions are special…

Types, Background on optimisation problems & Overview

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Overview

Background on optimisation problems

Types

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Approximation-preserving reduction

Nodes19
Edges18
Triples18
Avg. degree1.89
Density0.105263
Components1

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Approximation-preserving reduction

Top relations

related to Types · 8
Approximation-preserving reduction → APX, Because, However, Not, PTAS, Some, The, There
related to Definition · 4
Approximation-preserving reduction → It, Let, To, Unlike
related to Strict reduction · 4
Approximation-preserving reduction → APX, In, PTAS, Strict
is a · 2
Approximation-preserving reduction → algorithm for transforming one optimization problem into another problem, pair of functions

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Important terminology

reduction problem ptas approximation-preserving reductions solution problems displaystyle approximation apx membership must complexity optimization strict instance e-reduction also used cost

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Approximation-preserving reductionis aalgorithm for transforming one optimization problem into another problem0.90text
Approximation-preserving reductionis apair of functions0.90text
Approximation-preserving reductionrelated to DefinitionUnlike0.60section
Approximation-preserving reductionrelated to DefinitionIt0.60section
Approximation-preserving reductionrelated to DefinitionTo0.60section
Approximation-preserving reductionrelated to DefinitionLet0.60section
Approximation-preserving reductionrelated to Strict reductionStrict0.60section
Approximation-preserving reductionrelated to Strict reductionIn0.60section
Approximation-preserving reductionrelated to Strict reductionPTAS0.60section
Approximation-preserving reductionrelated to Strict reductionAPX0.60section
Approximation-preserving reductionrelated to TypesThere0.60section
Approximation-preserving reductionrelated to TypesHowever0.60section

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