Efficient sorting algorithm that combines insert and merge operations
Not to be confused with Block-sorting compression.
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.
Class
Sorting algorithm
Data structure
Array
Worst-case performance
O(n log n)
Best-case performance
O(n)
Average performance
O(n log n)
Worst-case space complexity
O(1)
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 block into B under special rules, and merging AB pairs.
One practical algorithm for O(n log n) in-place merging was proposed by Pok-Son Kim and Arne Kutzner in 2008.[1]
^Kutzner, Arne; Kim, Pok-Son (2008). Ratio Based Stable In-Place Merging(PDF). Lecture Notes in Computer Science. Vol. 4978. Springer Berlin Heidelberg. pp. 246–257. Retrieved 2016-09-07.
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