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Approximation algorithm

In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems (in particular NP-hard problems) with provable guarantees on the distance of the returned solution to the optimal one. Approximation algorithms naturally arise in the field of theoretical computer science…

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Overview

Introduction

Algorithm design techniques

A posteriori guarantees

Hardness of approximation

Practicality

Epsilon terms

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Approximation algorithm

Nodes65
Edges64
Triples116
Avg. degree1.97
Density0.030769
Components1

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Approximation algorithm

Top relations

related to References · 34
Approximation algorithm → Algorithms, Approximation Algorithms, Approximations, April, Berlin, Best, Better, Cambridge University Press, Chapter, Charles, Clifford Stein, Cormen, David, Dorit, Good, Hochbaum, Introduction, ISBN, Leiserson, McGraw-Hill
related to Hardness of approximation · 20
Approximation algorithm → Approximation, Christofides, Coupled, Feige, Goldwasser, In, Independent Set, It, Johnson's, Karpinski, Lampis, Lovász, Max SAT, NP, PCP, Safra, Schmied, Szegedy, The PCP, While
related to Algorithm design techniques · 16
Approximation algorithm → By, Dual-fitting, Embedding, Greedy, Iterative, Linear, Mathematical, Primal-dual, Random, Randomized, Rounding-based, Semidefinite, Then, These, This, Typical
related to Introduction · 11
Approximation algorithm → As, In, NP, NP-complete, NP-completeness, NP-hard, One, Others, PTAS, Therefore, Under
related to Practicality · 11
Approximation algorithm → Despite, Euclidean TSP, Implementation, In, Joseph Mitchell, Not, One, PTAS, Sanjeev Arora, Some, Yet
related to Epsilon terms · 8
Approximation algorithm → An, As, For, Given, In, Johan Håstad, MAX-3SAT, OPT
related to A posteriori guarantees · 5
Approximation algorithm → For, LP, Since, This, While
related to Performance guarantees · 4
Approximation algorithm → An, For, OPT, The
see also · 3
Approximation algorithm → Domination, FPT, PTAS

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Important terminology

approximation algorithms algorithm problem one guarantee problems solution example ratio optimal solutions displaystyle optimization time performance factor approximate techniques design

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
annealing or genetic algorithmsinstance ofThis distinguishes them from heuristics0.80text
which find reasonably good solutions on some inputsinstance ofThis distinguishes them from heuristics0.80text
but provide no clear indication at the outset on when they may succeed or fail.There is widespread interest in theoretical computer science to better understand the limits to which we can approximate certain famous optimization problemsinstance ofThis distinguishes them from heuristics0.80text
the Pinstance ofconditioned on widely believed hypotheses0.80text
Approximation algorithmrelated to A posteriori guaranteesWhile0.60section
Approximation algorithmrelated to A posteriori guaranteesThis0.60section
Approximation algorithmrelated to A posteriori guaranteesFor0.60section
Approximation algorithmrelated to A posteriori guaranteesSince0.60section
Approximation algorithmrelated to A posteriori guaranteesLP0.60section
Approximation algorithmrelated to Algorithm design techniquesBy0.60section
Approximation algorithmrelated to Algorithm design techniquesThese0.60section
Approximation algorithmrelated to Algorithm design techniquesGreedy0.60section

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