- Provide a detailed algorithm for the Inorder tree traversal method. explain the answer for 5 marks

Inorder tree traversal is a method used in computer science to traverse or visit all the nodes of a binary tree in a specific order. Here is a detailed algorithm for the Inorder tree traversal method:

1. Start from the root node, which is the initial node of the tree.

2. Traverse the left subtree by recursively calling the Inorder function.

3. Visit the root node.

4. Traverse the right subtree by recursively calling the Inorder function.

Here is the algorithm in more detail:

Algorithm Inorder(tree) a. Traverse the left subtree, i.e., call Inorder(left-subtree) b. Visit the root. c. Traverse the right subtree, i.e., call Inorder(right-subtree)

In terms of implementation, the algorithm can be implemented recursively or iteratively. The recursive implementation is straightforward. The iterative implementation uses a stack to keep track of nodes to visit.

The Inorder traversal method is widely used because it returns values from the binary tree in ascending order. It first visits the left subtree, then the root node, and finally, the right subtree. If the binary tree is a binary search tree, then the Inorder traversal method retrieves the nodes in sorted order.

For a binary tree with 'n' nodes, the time complexity of the Inorder traversal method is O(n) because it visits each node exactly once. The space complexity is O(h), where 'h' is the height of the tree, because in the worst case, the algorithm needs to store all nodes at a single level in the stack, and the maximum number of nodes at a single level is equal to the height of the tree.