Cubesort

Cubesort
Class	Sorting algorithm
Data structure	Array
Worst-case performance	$O (n log n)$
Worst-case space complexity	$Θ(n)$

Cubesort is a parallel sorting algorithm that builds a self-balancing multi-dimensional array from the keys to be sorted. As the axes are of similar length the structure resembles a cube. After each key is inserted the cube can be rapidly converted to an array.^[1]

A cubesort implementation written in C was published in 2014.^[2]

Operation

Cubesort's algorithm uses a specialized binary search on each axis to find the location to insert an element. When an axis grows too large it is split. Locality of reference is optimal as only 4 binary searches are performed on small arrays for each insertion. By using many small dynamic arrays the high cost for insertion on single large arrays is avoided.

References

↑ Cypher, Robert; Sanz, Jorge L.C (1992). "Cubesort: A parallel algorithm for sorting N data items with S-sorters".
↑ "Cubesort".

External links

Cubesort description and implementation in C
Algorithms and Computation: 7th International Symposium, ISAAC '96, Osaka ... edited by Tetsuo Asano et al, pp 187-188, https://books.google.com/books?id=vilOl8JCpFUC&pg=PA188&lpg=PA188&hl=en&f=false (passing mention)

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 Quicksort Stooge sort Bogosort

Selection sorts	Selection sort Heapsort Smoothsort Cartesian tree sort Tournament sort Cycle 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 Pigeonhole sort Proxmap sort Radix sort Flashsort

Concurrent sorts	Bitonic sorter Batcher odd–even mergesort Pairwise sorting network

Hybrid sorts	Block merge sort Timsort Introsort Spreadsort

Other	Topological sorting Pancake sorting Spaghetti sort

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