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Among quadratic sorting algorithms (sorting algorithms with a simple average-case of Θ(n 2)), selection sort almost always outperforms bubble sort and gnome sort. Insertion sort is very similar in that after the k th iteration, the first k {\displaystyle k} elements in the array are in sorted order.
As a baseline algorithm, selection of the th smallest value in a collection of values can be performed by the following two steps: . Sort the collection; If the output of the sorting algorithm is an array, retrieve its th element; otherwise, scan the sorted sequence to find the th element.
Selection sort is an in-place comparison sort. It has O(n 2) complexity, making it inefficient on large lists, and generally performs worse than the similar insertion sort. Selection sort is noted for its simplicity and also has performance advantages over more complicated algorithms in certain situations.
Selection sorts Heapsort: convert the list into a heap, keep removing the largest element from the heap and adding it to the end of the list; Selection sort: pick the smallest of the remaining elements, add it to the end of the sorted list; Smoothgamersort; Other Bitonic sorter; Pancake sorting; Spaghetti sort; Topological sort; Unknown class ...
Note the resemblance to quicksort: just as the minimum-based selection algorithm is a partial selection sort, this is a partial quicksort, generating and partitioning only () of its () partitions. This simple procedure has expected linear performance, and, like quicksort, has quite good performance in practice.
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