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The tree rotation renders the inorder traversal of the binary tree invariant. This implies the order of the elements is not affected when a rotation is performed in any part of the tree. Here are the inorder traversals of the trees shown above: Left tree: ((A, P, B), Q, C) Right tree: (A, P, (B, Q, C))
Tree rotation. A binary tree is a structure consisting of a set of nodes, one of which is designated as the root node, in which each remaining node is either the left child or right child of some other node, its parent, and in which following the parent links from any node eventually leads to the root node.
This rotation assumes that X has a left child (or subtree). X's left child, R, becomes X's parent node and R's right child becomes X's new left child. This rotation is done to balance the tree; specifically when the left subtree of node X has a significantly (depending on the type of tree) greater height than its right subtree.
This rotation assumes that X has a right child (or subtree). X's right child, R, becomes X's parent node and R's left child becomes X's new right child. This rotation is done to balance the tree; specifically when the right subtree of node X has a significantly (depends on the type of tree) greater height than its left subtree.
Improper rotation or rotoreflection, a rotation and reflection in one; Internal rotation, a term in anatomy; Optical rotation, rotation acting on polarized light; Rotation around a fixed axis; Rotational spectroscopy, a spectroscopy technique; Tree rotation, a well-known method used in order to make a tree balanced.
Balancing a k-d tree requires care because k-d trees are sorted in multiple dimensions, so the tree-rotation technique cannot be used to balance them as this may break the invariant. Several variants of balanced k-d trees exist. They include divided k-d tree, pseudo k-d tree, K-D-B-tree, hB-tree and Bkd-tree.
Pages in category "Binary trees" The following 33 pages are in this category, out of 33 total. ... Top tree; Treap; Tree rotation; V. Vantage-point tree; W.
Pages in category "Search trees" The following 24 pages are in this category, out of 24 total. ... Threaded binary tree; Treap; Tree rotation; U. UB-tree ...