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Discussion on Sorting Algorithms

Understand and analyze various comparison-based and non-comparison sorting algorithms including merge sort, quicksort, heap sort, counting sort, and radix sort. Explore their performance characteristics, memory usage, and ideal scenarios to apply each method effectively, especially within Java data structures and linked lists.

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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 heap-sort 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 ...