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Heapsort

In computer science, heapsort is an efficient, comparison-based sorting algorithm that reorganizes an input array into a heap (a data structure where each node is greater than its children) and then repeatedly removes the largest node from that heap, placing it at the end of the array in a similar manner to Selection sort.

Standards & Science

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Average performance
O ( n log ⁡ n ) {\displaystyle O(n\log n)}
Best-case performance
O ( n log ⁡ n ) {\displaystyle O(n\log n)} (distinct keys) or O ( n ) {\displaystyle O(n)} (equal keys)
Class
Sorting algorithm
Data structure
Array
Worst-case performance
O ( n log ⁡ n ) {\displaystyle O(n\log n)}
Worst-case space complexity
O ( n ) {\displaystyle O(n)} total O ( 1 ) {\displaystyle O(1)} auxiliary

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Overview

Algorithm

Variations

Comparison with other sorts

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Map overview Semantic statistics

Heapsort

Nodes61
Edges60
Triples128
Avg. degree1.97
Density0.032787
Components1

How this topic connects Entity context

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Heapsort

Top relations

related to References · 44
Heapsort → ACM, Addison-Wesley, Algorithm, Algorithms, Average-case, BIT Numerical Mathematics, Carlsson, Chapters, Charles, Clifford, Communications, Computer Programming, Cormen, David Carlson, Dijkstra's, Donald, Floyd, Heapsort Tutorial, Introduction, ISBN
related to Other variations · 30
Heapsort → As, Because, Better, Cartesian, CPU, Dijkstra, Due, Edsger, First, Floyd's, Form, It, Katajainen's, Levcopoulos, Like, Memory-optimized, Once, Out-of-place, Petersson, QuickHeapsort
related to External links · 24
Heapsort → Algorithms, Animated Sorting Algorithms, Archived, CHeap Sort Algorithm Implementation, Data Structures, December, Dictionary, Heap, Heap Sort, Heap-Sort, HeapsortHeapsort, Implementation, JavaScript, March, Oldenburg, Open Data Structures, Pat MorinHeap Sort Algorithm, Paul HsiehA PowerPoint, PythonHeap Sort Algorithm Implementation, Section
related to Williams' heap construction · 7
Heapsort → Although, Being, Floyd's, In, Rather, The, Williams
is a · 3
Heapsort → efficient, in-place algorithm, variant that reduces the number of comparisons required by a significant factor
related to Algorithm · 3
Heapsort → The, Then, This
related to Bottom-up heapsort · 3
Heapsort → Bottom-up, If, While
related to Comparison with other sorts · 2
Heapsort → Heapsort's, While
related to overview · 2
Heapsort → For, The
Average performance · 1
Heapsort → O ( n log ⁡ n ) {\displaystyle O(n\log n)}

Important terminology Word statistics

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Important terminology

heap algorithm array comparisons root element binary quicksort two log sorting node sort data children implementation number bottom-up sorted one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
HeapsortAverage performanceO ( n log ⁡ n ) {\displaystyle O(n\log n)}1.00infobox
HeapsortBest-case performanceO ( n log ⁡ n ) {\displaystyle O(n\log n)} (distinct keys) or O ( n ) {\displaystyle O(n)} (equal keys)1.00infobox
HeapsortClassSorting algorithm1.00infobox
HeapsortData structureArray1.00infobox
HeapsortWorst-case performanceO ( n log ⁡ n ) {\displaystyle O(n\log n)}1.00infobox
HeapsortWorst-case space complexityO ( n ) {\displaystyle O(n)} total O ( 1 ) {\displaystyle O(1)} auxiliary1.00infobox
Heapsortis aefficient0.90text
Heapsortis ain-place algorithm0.90text
Heapsortis avariant that reduces the number of comparisons required by a significant factor0.90text
weak heapsort require n log2 ninstance offor inputs that are already nearly sorted.Several variants0.80text
introsortinstance ofand implementations0.80text
pattern-defeating quicksort use heapsort as a last-resort fallback if they detect degenerate behaviourinstance ofand implementations0.80text

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