There are many sorting algorithms. I will list the most common and the not so known ones and provide links to read to understand them:
1. Bubble sort
2. Insertion sort
3. Shell sort - shell sort
4. Merge sort
5. Heapsort
6. Quicksort
7. Radix sort - radix sort
8. Counting sort - counting sort
There are many others, like: bucket sort , pigeonhole sort...
Wikipedia has a very good definition for each of these sorting algorithms. Just goto sorting algorithms
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