Which of the following binary search tree traversal gives a sorted list of elements?Group of answer choicesInorderPostorderPreorderLevelorder
Question
Which of the following binary search tree traversal gives a sorted list of elements?
- Group of answer choices:
- Inorder
- Postorder
- Preorder
- Levelorder
Solution
The traversal of a binary search tree that gives a sorted list of elements is Inorder.
Here's why:
-
In an Inorder traversal, the algorithm first traverses the left subtree, then visits the root node, and finally traverses the right subtree.
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Since a property of binary search trees is that all nodes to the left of a node have values less than the node's value, and all nodes to the right have values greater than the node's value, an Inorder traversal will visit the nodes in ascending order.
-
Therefore, an Inorder traversal of a binary search tree will give a sorted list of elements.
Postorder, Preorder, and Levelorder traversals do not guarantee a sorted list of elements.
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