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Shellsort

Shellsort, also known as Shell sort or Shell's method, is an in-place comparison sort. It can be understood as either a generalization of sorting by exchange (bubble sort) or sorting by insertion (insertion sort). The method starts by sorting pairs of elements far apart from each other, then progressively reducing the gap between elements to be compared.…

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Average performance
depends on gap sequence
Best-case performance
O(n log n) (most gap sequences) O(n log2n) (best known worst-case gap sequence)
Class
Sorting algorithm
Data structure
Array
Optimal
No
Worst-case performance
O(n2) (worst known worst case gap sequence) O(n log2n) (best known worst case gap sequence)

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Overview

Description

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  • C# C Sharp (programming language)

Gap sequences

Computational complexity

Applications

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Map overview Semantic statistics

Shellsort

Nodes45
Edges44
Triples56
Avg. degree1.96
Density0.044444
Components1

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Shellsort

Top relations

related to Bibliography · 19
Shellsort → Addison-Wesley, Algorithms, Analysis, Barcelona, Computer Programming, Donald, Fourth European Symposium, ISBN, Knuth, Massachusetts, Reading, Related Algorithms, Robert Sedgewick, Searching, September, Shell's, Sorting, The Art, Volume
related to Description · 8
Shellsort → Beginning, If, In, It, Our, Such, The, We
related to Computational complexity · 6
Shellsort → Every, Frobenius, Mark Allen Weiss, Proven, The, Using
related to External links · 5
Shellsort → Animated Sorting Algorithms, Hungarian, March, Shell Sort, Wayback Machine
related to Gap sequences · 5
Shellsort → Every, Others, Some, The, Too
has application · 4
Shellsort → For, However, Linux, This
Average performance · 1
Shellsort → depends on gap sequence
Best-case performance · 1
Shellsort → O(n log n) (most gap sequences) O(n log2n) (best known worst-case gap sequence)
Class · 1
Shellsort → Sorting algorithm
Data structure · 1
Shellsort → Array

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Important terminology

gap sequence average sort gaps complexity displaystyle sorting sequences time insertion elements array number lower bound example pass using comparisons

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
ShellsortAverage performancedepends on gap sequence1.00infobox
ShellsortBest-case performanceO(n log n) (most gap sequences) O(n log2n) (best known worst-case gap sequence)1.00infobox
ShellsortClassSorting algorithm1.00infobox
ShellsortData structureArray1.00infobox
ShellsortOptimalNo1.00infobox
ShellsortWorst-case performanceO(n2) (worst known worst case gap sequence) O(n log2n) (best known worst case gap sequence)1.00infobox
ShellsortWorst-case space complexityО(n) total, O(1) auxiliary1.00infobox
quicksort or merge sortinstance ofas may occur if Shellsort is used on small subarrays by another recursive sorting algorithm0.80text
then it is possible to tabulate an optimal sequence for each input sizeinstance ofas may occur if Shellsort is used on small subarrays by another recursive sorting algorithm0.80text
Shellsorthas applicationHowever0.60section
Shellsorthas applicationFor0.60section
Shellsorthas applicationLinux0.60section

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