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  2. Merge-insertion sort - Wikipedia

    en.wikipedia.org/wiki/Merge-insertion_sort

    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. It uses fewer comparisons in the worst case than the best previously known algorithms, binary insertion sort and merge sort, and for 20 years it was the sorting algorithm with the fewest known comparisons.

  3. Merge algorithm - Wikipedia

    en.wikipedia.org/wiki/Merge_algorithm

    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.

  4. Block sort - Wikipedia

    en.wikipedia.org/wiki/Block_Sort

    Block sort, or block merge sort, is a sorting algorithm combining at least two merge operations with an insertion sort to arrive at O(n log n) (see Big O notation) in-place stable sorting time. It gets its name from the observation that merging two sorted lists, A and B , is equivalent to breaking A into evenly sized blocks , inserting each A ...

  5. Sort-merge join - Wikipedia

    en.wikipedia.org/wiki/Sort-merge_join

    The sort-merge join (also known as merge join) is a join algorithm and is used in the implementation of a relational database management system . The basic problem of a join algorithm is to find, for each distinct value of the join attribute, the set of tuples in each relation which display that value. The key idea of the sort-merge algorithm ...

  6. Shellsort - Wikipedia

    en.wikipedia.org/wiki/Shellsort

    The next pass, 3-sorting, performs insertion sort on the three subarrays (a 1, a 4, a 7, a 10), (a 2, a 5, a 8, a 11), (a 3, a 6, a 9, a 12). The last pass, 1-sorting, is an ordinary insertion sort of the entire array (a 1,..., a 12). As the example illustrates, the subarrays that Shellsort operates on are initially short; later they are longer ...

  7. Sorting number - Wikipedia

    en.wikipedia.org/wiki/Sorting_number

    Sorting number. In mathematics and computer science, the sorting numbers are a sequence of numbers introduced in 1950 by Hugo Steinhaus for the analysis of comparison sort algorithms. These numbers give the worst-case number of comparisons used by both binary insertion sort and merge sort. However, there are other algorithms that use fewer ...

  8. Polyphase merge sort - Wikipedia

    en.wikipedia.org/wiki/Polyphase_merge_sort

    Polyphase merge. For N < 8 working files, a polyphase merge sort achieves a higher effective run count reduction factor by unevenly distributing sorted runs between N −1 working files (explained in next section). Each iteration merges runs from N −1 working files onto a single output working file. When the end of one of the N −1 working ...

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