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  2. Tree rotation - Wikipedia

    en.wikipedia.org/wiki/Tree_rotation

    A double left rotation at X can be defined to be a right rotation at the right child of X followed by a left rotation at X; similarly, a double right rotation at X can be defined to be a left rotation at the left child of X followed by a right rotation at X. Tree rotations are used in a number of tree data structures such as AVL trees, red ...

  3. Rotation distance - Wikipedia

    en.wikipedia.org/wiki/Rotation_distance

    Rotation distance was first defined by Karel Čulík II and Derick Wood in 1982. [1] Every two n-node binary trees have rotation distance at most 2n − 6, and some pairs of trees have exactly this distance. The computational complexity of computing the rotation distance is unknown. [2]

  4. Right rotation - Wikipedia

    en.wikipedia.org/wiki/Right_rotation

    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.

  5. Left rotation - Wikipedia

    en.wikipedia.org/wiki/Left_rotation

    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.

  6. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    The increase in height can increase the height of its ancestors, possibly invalidating the AVL invariant of those nodes. This can be fixed either with a double rotation if invalid at the parent or a single left rotation if invalid higher in the tree, in both cases restoring the height for any further ancestor nodes.

  7. Rotation - Wikipedia

    en.wikipedia.org/wiki/Rotation

    A sphere rotating (spinning) about an axis. Rotation or rotational motion is the circular movement of an object around a central line, known as an axis of rotation.A plane figure can rotate in either a clockwise or counterclockwise sense around a perpendicular axis intersecting anywhere inside or outside the figure at a center of rotation.

  8. Optimal rotation age - Wikipedia

    en.wikipedia.org/wiki/Optimal_rotation_age

    In forestry rotation analysis, economically optimum rotation can be defined as “that age of rotation when the harvest of stumpage will generate the maximum revenue or economic yield”. In an economically optimum forest rotation analysis, the decision regarding optimum rotation age is undertake by calculating the maximum net present value. It ...

  9. 2–3–4 tree - Wikipedia

    en.wikipedia.org/wiki/2–3–4_tree

    In computer science, a 2–3–4 tree (also called a 2–4 tree) is a self-balancing data structure that can be used to implement dictionaries. The numbers mean a tree where every node with children (internal node) has either two, three, or four child nodes: a 2-node has one data element, and if internal has two child nodes;