Question
In a Binary Search Tree (BST), which traversal technique
results in nodes being visited in ascending order?Solution
The Inorder traversal in a Binary Search Tree (BST) visits nodes in ascending order, which is a critical property of BSTs. In an inorder traversal, the left subtree of each node is visited first, then the node itself, and finally its right subtree. This traversal order ensures that nodes are accessed in non-decreasing order for a BST. The structure of BSTs allows for efficient searching, insertion, and deletion operations, and inorder traversal is particularly valuable when a sorted output of tree elements is required. This characteristic makes it an ideal approach for data processing tasks that require elements in ascending order, as well as for creating sorted data outputs from an unordered data input. Option A (Preorder) - Preorder traversal visits the root node first, followed by the left and right subtrees, which does not guarantee an ascending order. Option C (Postorder) - Postorder traversal visits both subtrees before the root, resulting in an order that does not reflect the BST's sorted sequence. Option D (Level Order) - Level order traversal accesses nodes level by level, not in a sorted manner, making it unsuitable for obtaining sorted values. Option E (Reverse Inorder) - While reverse inorder traverses in descending order, it is the opposite of what is needed for ascending order traversal.
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