The operation that is not a valid balancing operation in a height-balanced tree is c) Swap operation.

Here's why:

a) Right rotation: This is a valid operation in a height-balanced tree. It is used when a left-left case occurs (i.e., the left subtree is heavier than the right subtree).

b) Left rotation: This is also a valid operation. It is used when a right-right case occurs (i.e., the right subtree is heavier than the left subtree).

c) 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 preserve the binary search tree property (every node on the right subtree has to be larger than the current node and every node on the left subtree has to be smaller than the current node).

d) Left-right rotation (LR Rotation): This is a valid operation. It is used when a left-right case occurs (i.e., the left subtree is heavier than the right subtree, but the right child of the left subtree is heavier than its left child). This operation is a combination of a left rotation followed by a right rotation.

Question

The operation that is not a valid balancing operation in a height-balanced tree is c) Swap operation.

Here's why:

a) Right rotation: This is a valid operation in a height-balanced tree. It is used when a left-left case occurs (i.e., the left subtree is heavier than the right subtree).

b) Left rotation: This is also a valid operation. It is used when a right-right case occurs (i.e., the right subtree is heavier than the left subtree).

c) 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 preserve the binary search tree property (every node on the right subtree has to be larger than the current node and every node on the left subtree has to be smaller than the current node).

d) Left-right rotation (LR Rotation): This is a valid operation. It is used when a left-right case occurs (i.e., the left subtree is heavier than the right subtree, but the right child of the left subtree is heavier than its left child). This operation is a combination of a left rotation followed by a right rotation.

Knowee AI · Accepted Answer

The operation that is not a valid balancing operation in a height-balanced tree is c) Swap operation.

Here's why:

a) Right rotation: This is a valid operation in a height-balanced tree. It is used when a left-left case occurs (i.e., the left subtree is heavier than the right subtree).

b) Left rotation: This is also a valid operation. It is used when a right-right case occurs (i.e., the right subtree is heavier than the left subtree).

c) 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 preserve the binary search tree property (every node on the right subtree has to be larger than the current node and every node on the left subtree has to be smaller than the current node).

d) Left-right rotation (LR Rotation): This is a valid operation. It is used when a left-right case occurs (i.e., the left subtree is heavier than the right subtree, but the right child of the left subtree is heavier than its left child). This operation is a combination of a left rotation followed by a right rotation.

Which operation is not a valid balancing operation in a height-balanced tree?a)Right rotationb)Left rotationc)Swap operationd)Left-right rotation (LR Rotation)

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