Which operation is not a valid balancing operation in a height-balanced tree?a)Left rotationb)Swap operationc)Left-right rotation (LR Rotation)d)Right rotation
Question
Which operation is not a valid balancing operation in a height-balanced tree?
a) Left rotation
b) Swap operation
c) Left-right rotation (LR Rotation)
d) Right rotation
Solution
The operation that is not a valid balancing operation in a height-balanced tree is b) Swap operation.
Here's why:
a) Left rotation: This is a valid operation in a height-balanced tree. It is used when a right-heavy imbalance is detected.
b) Swap operation: This is not a valid operation in a height-balanced tree. Swapping nodes in a binary tree can lead to an invalid binary search tree, as it may not maintain the binary search tree property that all nodes to the left of a node have lesser values and all nodes to the right have greater values.
c) Left-right rotation (LR Rotation): This is a valid operation in a height-balanced tree. It is used when a left-right imbalance is detected.
d) Right rotation: This is a valid operation in a height-balanced tree. It is used when a left-heavy imbalance is detected.
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