Different Types Of Sorting Algorithms

1) Exchange sorts : 

1.1 Bubble sort

1.2 Cocktail sort

1.3 Odd-even sort

1.4 Comb sort

1.5 Gnome sort

1.6 Quick sort

2) Selection sorts :

2.1 Selection sort

2.2 Heapsort

2.3 Smoothsort

2.4 Cartesian tree sort

2.5 Tournament sort

2.6 Cycle sort

3) Insertion sorts :

3.1 Insertion sort

3.2 Shell sort

3.3 Tree sort

3.4 Library sort

3.5 Patience sort

4) Merge sorts :

4.1 Merge sort

4.2 Polyphase merge sort

4.3 Strand sort

4.4 Tim sort

5) Non-comparison sorts : 

5.1 Radix sort

5.2 Bucket sort

5.3 Counting sort

5.4 Pigeon Hole sort

5.5 Burst sort

5.6 Bead sort

5.7 Bucket sort

6) Others :

6.1 Topological sorting

6.2 Sorting network

6.3 Bitonic sorter

6.4 Batcher odd-even mergesort

6.5 Pancake sorting

7) Ineffective/humorous sorts :

7.1 Bogo sort

7.2 Stooge sort

Hope that this list of sorting algorithms will help you.

Feel free to post comments and your opinions.