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AVLDeletion in advanced data structures in jvava
- 1. AVL Deletion N AM E:M SULAKSH ANA BRANCH:AID ROLL N O:23B81 A7251
- 2. Deletion in AVL Tree Deleting a node from an AVL tree is similar to that in a binary search tree. Deletion may disturb the balance factor of an AVL tree and therefore the tree needs to be rebalanced in order to maintain the AVLness. The two types of rotations are L rotation and R rotation. if the node which is to be deleted is present in the left sub-tree of the critical node, then L rotation needs to be applied else if, the node which is to be deleted is present in the right sub-tree of the critical node, the R rotation will be applied.
- 3. R0 rotation (Node B has balance factor 0 ) If the node B has 0 balance factor, and the balance factor of node A disturbed upon deleting the node X, then the tree will be rebalanced by rotating tree using R0 rotation.
- 5. R1 Rotation (Node B has balance factor 1) f the node B has 1 balance factor, and the balance factor of node A disturbed upon deleting the node X, then the tree will be rebalanced by rotating tree using R1 rotation.
- 7. R-1 Rotation (Node B has balance factor -1) if the node B has -1 balance factor, and the balance factor of node A disturbed upon deleting the node X, then the tree will be rebalanced by rotating tree using R-1 rotation
- 9. L and R Rotation in a nutshell R ROTATION R0 Rotation(LL Rotation) R1 Rotation(LL Rotation) R-1 Rotation(LR Rotation) L ROTATION L0 Rotation(RR Rotation) L1 Rotation(RL Rotation) L-1 Rotation(RR Rotation)