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In computer science, merge sort (also commonly spelled as mergesort and as merge-sort[2]) is an efficient, general-purpose, and comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the relative order of equal elements is the same in the input and output.
Repeatedly merge sublists to create a new sorted sublist until the single list contains all elements. The single list is the sorted list. The merge algorithm is used repeatedly in the merge sort algorithm. An example merge sort is given in the illustration. It starts with an unsorted array of 7 integers. The array is divided into 7 partitions ...
Insertion sort is widely used for small data sets, while for large data sets an asymptotically efficient sort is used, primarily heapsort, merge sort, or quicksort. Efficient implementations generally use a hybrid algorithm , combining an asymptotically efficient algorithm for the overall sort with insertion sort for small lists at the bottom ...
Block sort. Block sort stably sorting numbers 1 to 16. Insertion sort groups of 16, extract two internal buffers, tag the A blocks (of size √ 16 = 4 each), roll the A blocks through B, locally merge them, sort the second buffer, and redistribute the buffers. Block sort, or block merge sort, is a sorting algorithm combining at least two merge ...
In computer science, merge-insertion sort or the Ford–Johnson algorithm is a comparison sorting algorithm published in 1959 by L. R. Ford Jr. and Selmer M. Johnson. [1][2][3][4] It uses fewer comparisons in the worst case than the best previously known algorithms, binary insertion sort and merge sort, [1] and for 20 years it was the sorting ...
sort is a generic function in the C++ Standard Library for doing comparison sorting. The function originated in the Standard Template Library (STL). The specific sorting algorithm is not mandated by the language standard and may vary across implementations, but the worst-case asymptotic complexity of the function is specified: a call to sort ...
Batcher's odd–even mergesort[1] is a generic construction devised by Ken Batcher for sorting networks of size O (n (log n) 2) and depth O ( (log n) 2), where n is the number of items to be sorted. Although it is not asymptotically optimal, Knuth concluded in 1998, with respect to the AKS network that "Batcher's method is much better, unless n ...
k. -way merge algorithm. In computer science, k-way merge algorithms or multiway merges are a specific type of sequence merge algorithms that specialize in taking in k sorted lists and merging them into a single sorted list. These merge algorithms generally refer to merge algorithms that take in a number of sorted lists greater than two.