Question
Which of the following traversal methods is used to
visit nodes in the order "left child, root, right child" in a binary tree?Solution
Inorder traversal visits the nodes of a binary tree in the order: left child , root , and then right child . This traversal is particularly useful in binary search trees because it retrieves the elements in sorted order (ascending). For instance, given a binary search tree with elements 1, 2, and 3, performing an inorder traversal would yield [1, 2, 3]. This characteristic makes it a key tool in various applications like database indexing and syntax tree evaluation. Why Other Options Are Incorrect :
- Preorder traversal : This visits nodes in the order root, left child, right child , not the inorder sequence.
- Postorder traversal : This visits nodes in the order left child, right child, root , opposite of the inorder sequence.
- Level-order traversal : This traverses the tree level by level, starting from the root, and is unrelated to left-root-right order.
- Reverse level-order traversal : This is the reverse of level-order traversal and does not follow the inorder sequence.
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