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Selection algorithm

In computer science, a selection algorithm is an algorithm for finding the k {\displaystyle k} th smallest value in a collection of orderable values, such as numbers. The value that it finds is called the k {\displaystyle k} th order statistic. Selection includes as special cases the problems of finding the minimum, median, and maximum element in the…

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Overview

Problem statement

Algorithms

Lower bounds

Exact numbers of comparisons

Language support

History

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Map overview Semantic statistics

Selection algorithm

Nodes87
Edges86
Triples61
Avg. degree1.98
Density0.022989
Components1

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Selection algorithm

Top relations

related to history · 15
Selection algorithm → Charles, Dodgson, Donald Knuth, Floyd, Hugo Steinhaus, Lewis Carroll, Manuel Blum, Quickselect, Robert, Robert Tarjan, Ron Rivest, The, They, Tony Hoare, Vaughan Pratt
related to Problem statement · 11
Selection algorithm → An, Another, Cormen, English-language, For, However, It, Often, The, This, To
related to Pivoting · 8
Selection algorithm → As, Details, However, If, In, It, Many, The
related to Exact numbers of comparisons · 7
Selection algorithm → Abdollah Hadian, Knuth, Milton Sobel, Most, Some, The, This
related to Factories · 7
Selection algorithm → Arnold Schönhage, As, For, Mike Paterson, Nick Pippenger, The, These
related to Sublinear data structures · 6
Selection algorithm → As, For, In, Selection, This, When
related to Lower bounds · 4
Selection algorithm → Beyond, If, Selecting, The
is a · 2
Selection algorithm → algorithm for finding the k, median of medians method

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Important terminology

displaystyle selection values algorithm time comparisons number smallest value th algorithms log collection median data input elements element quickselect two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Selection algorithmis aalgorithm for finding the k0.90text
Selection algorithmis amedian of medians method0.90text
introselect can be used to achieve the practical performance of quickselect with a fallback to medians of medians guaranteeing worst-case Oinstance ofand slower even than sorting for inputs of moderate size.Hybrid algorithms0.80text
Selection algorithmrelated to Exact numbers of comparisonsKnuth0.60section
Selection algorithmrelated to Exact numbers of comparisonsThe0.60section
Selection algorithmrelated to Exact numbers of comparisonsMost0.60section
Selection algorithmrelated to Exact numbers of comparisonsThis0.60section
Selection algorithmrelated to Exact numbers of comparisonsAbdollah Hadian0.60section
Selection algorithmrelated to Exact numbers of comparisonsMilton Sobel0.60section
Selection algorithmrelated to Exact numbers of comparisonsSome0.60section
Selection algorithmrelated to FactoriesThe0.60section
Selection algorithmrelated to FactoriesArnold Schönhage0.60section

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