Pairwise sorting network

Pairwise sorting network
	Visualization of the Pairwise sorting network with 16 inputs
Class	Sorting algorithm
Data structure	Array
Worst-case performance	parallel time
Worst-case space complexity
Optimal	No

The pairwise sorting network is a sorting network discovered and published by Ian Parberry in 1992 in Parallel Processing Letters.^[1] The pairwise sorting network has the same cost (number of comparators) and delay as the odd-even mergesort network. It requires $n(\log n)(\log n-1)/4+n-1$ comparators and has depth $(\log n)(\log n+1)/2$ .

References

^ Parberry, Ian (1992), "The Pairwise Sorting Network" (PDF), Parallel Processing Letters, 2 (2, 3): 205–211

External links

Sorting Networks – Web page by the author.

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[1] Parberry, Ian (1992), "The Pairwise Sorting Network" (PDF), Parallel Processing Letters, 2 (2, 3): 205–211

[1]

v t e Sorting algorithms
Theory	Computational complexity theory Big O notation Total order Lists Inplacement Stability Comparison sort Adaptive sort Sorting network Integer sorting X + Y sorting Transdichotomous model Quantum sort
Exchange sorts	Bubble sort Cocktail shaker sort Odd–even sort Comb sort Gnome sort Proportion extend sort Quicksort
Selection sorts	Selection sort Heapsort Smoothsort Cartesian tree sort Tournament sort Cycle sort Weak-heap sort
Insertion sorts	Insertion sort Shellsort Splaysort Tree sort Library sort Patience sorting
Merge sorts	Merge sort Cascade merge sort Oscillating merge sort Polyphase merge sort
Distribution sorts	American flag sort Bead sort Bucket sort Burstsort Counting sort Interpolation sort Pigeonhole sort Proxmap sort Radix sort Flashsort
Concurrent sorts	Bitonic sorter Batcher odd–even mergesort Pairwise sorting network Samplesort
Hybrid sorts	Block merge sort Kirkpatrick–Reisch sort Timsort Introsort Spreadsort Merge-insertion sort
Other	Topological sorting Pre-topological order Pancake sorting Spaghetti sort
Impractical sorts	Stooge sort Slowsort Bogosort