Search Tree Rotation: Difference between revisions

From NovaOrdis Knowledge Base
Jump to navigation Jump to search
Line 7: Line 7:
Rotations are a set of primitives common to all binary search tree implementations, which preserve the [[Binary_Search_Trees#Binary_Search_Tree_Property|Binary Search Tree Property]] while locally rebalancing subtrees at a node in O(1) time. There are left rotations and right rotations. When invoking a rotation, is on a parent-child pair of a search tree. If it is the right child of the parent, use a left rotation. If it is the left child, use a right rotation.
Rotations are a set of primitives common to all binary search tree implementations, which preserve the [[Binary_Search_Trees#Binary_Search_Tree_Property|Binary Search Tree Property]] while locally rebalancing subtrees at a node in O(1) time. There are left rotations and right rotations. When invoking a rotation, is on a parent-child pair of a search tree. If it is the right child of the parent, use a left rotation. If it is the left child, use a right rotation.


{{Note|Rotations preserve the [[Binary_Search_Trees#Binary_Search_Tree_Property|Binary Search Tree Property]]}}
{{Note|Rotations preserve the [[Binary_Search_Trees#Binary_Search_Tree_Property|Binary Search Tree Property]]}}.
 
=Left Rotation=
=Left Rotation=

Revision as of 18:42, 13 October 2021

External

Internal

Overview

Rotations are a set of primitives common to all binary search tree implementations, which preserve the Binary Search Tree Property while locally rebalancing subtrees at a node in O(1) time. There are left rotations and right rotations. When invoking a rotation, is on a parent-child pair of a search tree. If it is the right child of the parent, use a left rotation. If it is the left child, use a right rotation.


Rotations preserve the Binary Search Tree Property

.

Left Rotation