What is the primary purpose of performing rotations in an AVL tree?a)To increase the height of the treeb)To delete nodes with duplicate valuesc)To maintain or restore balanced)To create new child nodes
Question
What is the primary purpose of performing rotations in an AVL tree?a)To increase the height of the treeb)To delete nodes with duplicate valuesc)To maintain or restore balanced)To create new child nodes
Solution
The primary purpose of performing rotations in an AVL tree is c) To maintain or restore balance.
AVL trees are a type of binary search tree that self-balance. This means that they automatically adjust their own structure to ensure that the tree remains balanced, which is crucial for maintaining optimal search times.
When an insertion or deletion causes the tree to become unbalanced, rotations are performed to restore balance. There are four types of rotations: left, right, left-right, and right-left. The type of rotation performed depends on whether the imbalance is on the left or right side and whether it's caused by an operation on the left or right child.
So, the primary purpose of rotations in an AVL tree is not to increase the height of the tree, delete nodes with duplicate values, or create new child nodes, but to maintain or restore balance.
Similar Questions
Which rotations in AVL trees are known as single rotations?
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.
Consider the below left-left rotation pseudo code where the node contains value pointers to left, right child nodes and a height value and Height() function returns height value stored at a particular node.avltree leftrotation(avltreenode z): avltreenode w =x-left x-left=w-right w-right=x x-height=max(Height(x-left),Height(x-right))+1 w-height=max(missing)+1 return w*2 pointsHeight(w-left), x-heightHeight(w-right), x-heightHeight(w-left), xHeight(w-left)
In AVL Tree Balancing is done if the Balance Factor of a node is
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)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.