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 rotationb)Swap operationc)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.
Similar Questions
Consider the following scenario:In a weight-balanced tree, a new node with a large weight is inserted as the right child of a node with a small weight.How might the tree adapt to maintain balance, and what rotation operation is likely to be involved?a)The left subtree's weight increases; left rotation is performed.b)No action is needed.c)The left subtree's weight decreases; double rotation is performed.d)The right subtree's weight increases; right rotation is performed.
During an insertion operation in a weight-balanced tree, if the weight balance factor of a node violates the criterion, what type of rotation might be performed?a)Single rotationb)Quadruple rotationc)Double rotationd)Triple rotation
If, during a deletion operation in a weight-balanced tree, the weight balance factor of a node violates the criterion, a _____ rotation might be performed to restore balance.a)singleb)quadruplec)doubled)triple
What is the primary criterion for balancing in a Height Balanced Tree?a)The weight of the subtreesb)The weight on the edges of the treec)The total number of nodes in the treed)The difference in height between left and right subtrees
In AVL Tree Balancing is done if the Balance Factor of a node is
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