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Discussion on Sorting Algorithms

Explore essential sorting algorithms used in computer science such as merge-sort, quicksort, and heapsort. Understand their advantages, in-place and randomized behaviors, and how counting and radix sorts handle different data types efficiently.

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Additional notes

Sorting is the fundamental algorithmic problem in computer science, and it has a long history. KnuthD. Knuth. Sorting and Searching, volume 3 of The Art of Computer Programming. Addison-Wesley, second edition, 1997. attributes the merge-sort algorithm to von Neumann (1945). Quicksort is due to HoareC. A. R. Hoare. Algorithm 64: Quicksort. Communications of the ACM, 4(7):321, 1961.. The original heapsort algorithm is due to WilliamsJ. Williams. Algorithm 232: Heapsort. Communications of the ACM, 7(6):347–348, 1964., but the version presented here (in which the heap is constructed bottom-up in O(n)O(n) time) is due to FloydR. W. Floyd. Algorithm 245: Treesort 3. Communications of the ACM, 7(12):701, 1964.. Lower-bounds for comparison-based sorting appear to ...