Question
Download Solution PDFIf node 16 is deleted from the following binary tree and the resulting binary tree is traversed in-order then what would be the sequence in which the nodes would be visited?

Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is : option 1
Key Points
In-order Traversal:
In-order traversal of a binary tree means: Left Subtree → Root → Right Subtree
Original Tree (Before deletion of node 16):
22 / \ 10 44 \ 16 \ 19
In-order traversal before deletion: 10 → 16 → 19 → 22 → 44
Now delete node 16:
Since node 16 has only one child (19), deletion involves linking node 10 directly to node 19.
Modified Tree (After deletion of node 16):
22 / \ 10 44 \ 19
In-order traversal after deletion:
- Left subtree of 22: Traverse 10 → 19
- Visit root: 22
- Right subtree of 22: 44
Sequence: 10, 19, 22, 44
Correct Option: Option 1) 10, 19, 22, 44
Additional Information
- In-order traversal always visits the left subtree, then the root, then the right subtree.
- When a node with only one child is deleted, its child is directly connected to its parent.
- The resulting structure still maintains the binary search tree (BST) property.
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