Search results
Results From The WOW.Com Content Network
Therefore, the vertical distance to the base of the tree above or below eye level is [h2 = sin(b) x D2]. Common sense should prevail when adding h1 and h2. If the base of the tree is below eye level the distance it extends below eye level is added to the height of the tree above eye level to calculate the total height of the tree.
Tree height is the vertical distance between the base of the tree and the highest sprig at the top of the tree. The base of the tree is measured for both height and girth as being the elevation at which the pith of the tree intersects the ground surface beneath, or "where the acorn sprouted."
(Unlike insertion where a rotation always balances the tree, after delete, there may be BF(Z) ≠ 0 (see figures 2 and 3), so that after the appropriate single or double rotation the height of the rebalanced subtree decreases by one meaning that the tree has to be rebalanced again on the next higher level.)
For height-balanced binary trees, the height is defined to be logarithmic () in the number of items. This is the case for many binary search trees, such as AVL trees and red–black trees . Splay trees and treaps are self-balancing but not height-balanced, as their height is not guaranteed to be logarithmic in the number of items.
Height-Balanced. BATON is considered balanced if and only if the height of its two sub-trees at any node in the tree differs by at most one. If any node detects that the height-balanced constraint is violated, a restructuring process is initiated to ensure that the tree remains balanced.
For an m-ary tree with height h, the upper bound for the maximum number of leaves is . The height h of an m-ary tree does not include the root node, with a tree containing only a root node having a height of 0. The height of a tree is equal to the maximum depth D of any node in the tree.
English: Analysis of data structures, tree compared to hash and array based structures, height balanced tree compared to more perfectly balanced trees, a simple height balanced tree class with test code, comparable statistics for tree performance, statistics of worst case strictly-AVL-balanced trees versus perfect full binary trees.
One advantage of AVL trees over red–black trees is being more balanced: they have height at most (for a tree with n data items, where is the golden ratio), while red–black trees have larger maximum height, . If a WAVL tree is created using only insertions, without deletions, then it has the same small height bound that an AVL ...