Tree sort is a sorting algorithm that is based on Binary Search Tree data structure. It first creates a binary search tree from the elements of the input list or array and then performs an in-order traversal on the created binary search tree to get the elements in sorted order.
Step 1: Take the elements input in an array. Step 2: Create a Binary search tree by inserting data items from the array into the binary search tree. Step 3: Perform in-order traversal on the tree to get the elements in sorted order.
2 4 5 7 11
Average Case Time Complexity : O(n log n) Adding one item to a Binary Search tree on average takes O(log n) time. Therefore, adding n items will take O(n log n) time
Worst Case Time Complexity : O(n2). The worst case time complexity of Tree Sort can be improved by using a self-balancing binary search tree like Red Black Tree, AVL Tree. Using self-balancing binary tree Tree Sort will take O(n log n) time to sort the array in worst case.
Auxiliary Space : O(n)
This article is contributed by Harsh Agarwal. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
- Comparisons involved in Modified Quicksort Using Merge Sort Tree
- Why Quick Sort preferred for Arrays and Merge Sort for Linked Lists?
- Bucket Sort To Sort an Array with Negative Numbers
- Insertion sort to sort even and odd positioned elements in different orders
- Program to sort an array of strings using Selection Sort
- Java Program for Odd-Even Sort / Brick Sort
- Serial Sort v/s Parallel Sort in Java
- C/C++ Program for Odd-Even Sort / Brick Sort
- Quick Sort vs Merge Sort
- Odd-Even Sort / Brick Sort
- Check if a given Binary Tree is height balanced like a Red-Black Tree
- Sort all even numbers in ascending order and then sort all odd numbers in descending order
- Minimum swap required to convert binary tree to binary search tree
- Red Black Tree vs AVL Tree
- std::sort() in C++ STL