Sort algorithms.
Sorting algorithms arrange elements in a list into a specific order. The required sort order may be ascending descending, alphabetic or custom defined.
Sorting algorithms list:
| Bubble Sort |
| Insertion Sort |
| Merge Sort |
| Selection Sort |
| Counting Sort |
| Exponential Sort |
| Radix Sort |
| Bucket Sort |
| Heap Sort |
| Shell Sort |
| Topological sort |
| Quick Sort |
Time Complexity of sort Algorithms
Following table shows time complexity metrics for an String with n characters:
| Operation | Best case | Worst case | Average case |
|---|---|---|---|
| Bubble Sort | O(n) | O(n^2) | O(n^2) |
| Insertion Sort | O(n) | O(n^2) | O(n^2) |
| Merge Sort | O(n log n) | O(n log n) | O(n log n) |
| Selection Sort | O(n^2) | O(n^2) | O(n^2) |
| Counting Sort | O(n+k) | O(n+k) | O(n+k) |
| Exponential Sort | O(n) | O(log n) | O(log n)> |
| Radix Sort | O(nk) | O(nk) | O(nk) |
| Bucket Sort | O(n+k) | O(n+k) | O(n^2) |
| Heap Sort | O(n log n) | O(n log n) | O(n log n) |
| Shell Sort | O(n log n) | O(n log n) | O(n^2) |
| Topological sort | O(V+E) | O(V + E) | O(V + E) |
| Quick Sort | O(n log n) | O(n log n) | O(n^2) |
Note:
n: Number of elements in the dataset.
V: Number of vertices in the graph.
E: Number of edges in the graph.
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