Quicksort

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History

Moscow State University Machine translation National Physical Laboratory Magnetic tape Autocode

19 related topics

Relation to other algorithms

Binary tree sort Locality of reference Stable sort Linked lists External sorting

12 related topics

Overview

Stable Tony Hoare Merge sort Heapsort Divide-and-conquer algorithm

55 related topics

Formal analysis

Call tree Equal probability Tail recursion

3 related topics

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Average performance: O ( n log ⁡ n ) {\displaystyle O(n\log n)}
Best-case performance: O ( n log ⁡ n ) {\displaystyle O(n\log n)} (simple partition) or O ( n ) {\displaystyle O(n)} (three-way partition and equal keys)
Class: Sorting algorithm
Optimal: No
Worst-case performance: O ( n 2 ) {\displaystyle O(n^{2})} (rarely)
Worst-case space complexity: O ( n ) {\displaystyle O(n)} auxiliary (naive) O ( log ⁡ n ) {\displaystyle O(\log n)} auxiliary (Hoare 1962)

Topics to explore

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Formal analysis

Call tree Call stack
Equal probability Uniform distribution (discrete)
Tail recursion

Relation to other algorithms

Advanced semantic analysis

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Map overview Semantic statistics

Nodes96

Edges95

Triples206

Avg. degree1.98

Density0.020833

Components1

How this topic connects Entity context

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Quicksort

Top relations

related to References · 71

Quicksort → ACM, Addison-Wesley, AID-SPE117, Algorithm, Algorithms, Analysis, Archived, Bentley, Chapter, Charles, Clifford Stein, CO, Comm, Comput, Computer Programming, Computer Science, Cormen, CS, David, Dean

related to history · 33

Quicksort → ACM, After, ALGOL, Algorithm, As, Association, At, CACM, Communications, Computing Machinery, England, He, Hence, His, Hoare, Issue, Java, July, Later, Mercury Autocode

related to Lomuto partition scheme · 13

Quicksort → Algorithms, As, Bentley, Cormen, Hoare's, In, Introduction, Nico Lomuto, Programming Pearls, Sorting, The, There, This

related to Algorithm · 12

Quicksort → After, Applied, Due, Elements, For, If, Optional, Otherwise, Partition, Recursively, The, This

related to External links · 10

Quicksort → Animated Sorting Algorithms, Archived, March, November, Open Data Structures, Pat MorinInteractive, Quick Sort, Retrieved, Section, Sorting

related to Hoare partition scheme · 10

Quicksort → After, Hoare, However, Indeed, Notably, Such, The, Tony Hoare, While, With

related to Relation to other algorithms · 10

Quicksort → An, For, GNU, Heapsort, Instead, Introsort, LLVM, Major, The, This

related to Average-case analysis · 7

Quicksort → Algorithms, Alternatively, Cormen, Introduction, Section, Three, To

related to Generalization · 7

Quicksort → Bentley-McIlroy, David, Kandathil, Practical, Richard Cole, Sedgewick, Theta

related to Worst-case analysis · 5

Quicksort → Consequently, If, Lomuto, The, This

Important terminology Word statistics

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Important terminology

pivot partition sort algorithm elements sorting log equal time case displaystyle array element two sorted space partitioning first scheme algorithms

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Quicksort	Average performance	O ( n log ⁡ n ) {\displaystyle O(n\log n)}	1.00	infobox
Quicksort	Best-case performance	O ( n log ⁡ n ) {\displaystyle O(n\log n)} (simple partition) or O ( n ) {\displaystyle O(n)} (three-way partition and equal keys)	1.00	infobox
Quicksort	Class	Sorting algorithm	1.00	infobox
Quicksort	Optimal	No	1.00	infobox
Quicksort	Worst-case performance	O ( n 2 ) {\displaystyle O(n^{2})} (rarely)	1.00	infobox
Quicksort	Worst-case space complexity	O ( n ) {\displaystyle O(n)} auxiliary (naive) O ( log ⁡ n ) {\displaystyle O(\log n)} auxiliary (Hoare 1962)	1.00	infobox
Quicksort	is a	efficient	0.90	text
Quicksort	is a	divide-and-conquer algorithm	0.90	text
Quicksort	is a	comparison sort	0.90	text
Quicksort	is a	implementation complexity required to avoid bad pivot choices and the resultant O	0.90	text
insertion sort for small arrays	instance of	use other sorting algorithms	0.80	text
and so on	instance of	use other sorting algorithms	0.80	text

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