The rotations in AVL trees that are known as single rotations are the Left-Left (LL) rotation and the Right-Right (RR) rotation.

Here's a step-by-step explanation:

1. Left-Left (LL) Rotation: This is called a single rotation because it involves rotating the tree around a single pivot node. It is used when a node is inserted into the left subtree of the left child of a node, causing it to become unbalanced. The right child of the left child becomes the left child of the parent, and the parent becomes the right child of the left child.

2. Right-Right (RR) Rotation: This is also a single rotation, and it is the mirror image of the LL rotation. It is used when a node is inserted into the right subtree of the right child of a node, causing it to become unbalanced. The left child of the right child becomes the right child of the parent, and the parent becomes the left child of the right child.

These rotations are used to maintain the balance of the AVL tree after insertions or deletions, ensuring that the height of the tree remains logarithmic in the number of nodes, which guarantees efficient operations.

Question

The rotations in AVL trees that are known as single rotations are the Left-Left (LL) rotation and the Right-Right (RR) rotation.

Here's a step-by-step explanation:

1. Left-Left (LL) Rotation: This is called a single rotation because it involves rotating the tree around a single pivot node. It is used when a node is inserted into the left subtree of the left child of a node, causing it to become unbalanced. The right child of the left child becomes the left child of the parent, and the parent becomes the right child of the left child.

2. Right-Right (RR) Rotation: This is also a single rotation, and it is the mirror image of the LL rotation. It is used when a node is inserted into the right subtree of the right child of a node, causing it to become unbalanced. The left child of the right child becomes the right child of the parent, and the parent becomes the left child of the right child.

These rotations are used to maintain the balance of the AVL tree after insertions or deletions, ensuring that the height of the tree remains logarithmic in the number of nodes, which guarantees efficient operations.

Knowee AI · Accepted Answer

The rotations in AVL trees that are known as single rotations are the Left-Left (LL) rotation and the Right-Right (RR) rotation.

Here's a step-by-step explanation:

1. Left-Left (LL) Rotation: This is called a single rotation because it involves rotating the tree around a single pivot node. It is used when a node is inserted into the left subtree of the left child of a node, causing it to become unbalanced. The right child of the left child becomes the left child of the parent, and the parent becomes the right child of the left child.

2. Right-Right (RR) Rotation: This is also a single rotation, and it is the mirror image of the LL rotation. It is used when a node is inserted into the right subtree of the right child of a node, causing it to become unbalanced. The left child of the right child becomes the right child of the parent, and the parent becomes the left child of the right child.

These rotations are used to maintain the balance of the AVL tree after insertions or deletions, ensuring that the height of the tree remains logarithmic in the number of nodes, which guarantees efficient operations.

Which rotations in AVL trees are known as single rotations?

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