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A perfect binary tree is a full binary tree. A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes in the last level are as far left as possible. It can have between 1 and 2 h nodes at the last level h. [19] A perfect tree is therefore always complete but a complete tree is ...
A full m-ary tree is an m-ary tree where within each level every node has 0 or m children. A complete m-ary tree [3] [4] (or, less commonly, a perfect m-ary tree [5]) is a full m-ary tree in which all leaf nodes are at the same depth.
A 1-ary tree is just a path. A 2-ary tree is also called a binary tree, although that term more properly refers to 2-ary trees in which the children of each node are distinguished as being left or right children (with at most one of each type). A k-ary tree is said to be complete if every internal vertex has exactly k children. augmenting
A hypertree network is a network topology that shares some traits with the binary tree network. [1] It is a variation of the fat tree architecture. [2]A hypertree of degree k depth d may be visualized as a 3-dimensional object whose front view is the top-down complete k-ary tree of depth d and the side view is the bottom-up complete binary tree of depth d.
Such a tree occurs notably for an ancestry chart to a given depth, and the implicit representation is known as an Ahnentafel (ancestor table). This can be generalized to a complete binary tree (where the last level may be incomplete), which yields the best-known example of an implicit data structure, namely the binary heap , which is an ...
This unsorted tree has non-unique values (e.g., the value 2 existing in different nodes, not in a single node only) and is non-binary (only up to two children nodes per parent node in a binary tree). The root node at the top (with the value 2 here), has no parent as it is the highest in the tree hierarchy.
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A binary heap is defined as a binary tree with two additional constraints: [3] Shape property: a binary heap is a complete binary tree; that is, all levels of the tree, except possibly the last one (deepest) are fully filled, and, if the last level of the tree is not complete, the nodes of that level are filled from left to right.