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An internal node (also known as an inner node, inode for short, or branch node) is any node of a tree that has child nodes. Similarly, an external node (also known as an outer node, leaf node, or terminal node) is any node that does not have child nodes. The height of a node is the length of the longest downward path to a leaf from that node ...
Deleting a key from a non-leaf node can be done by replacing it by its immediate predecessor or successor, and then deleting the predecessor or successor from a leaf node. Deleting a key from a leaf node is easy if the leaf is a 3-node. Otherwise, it may require creating a temporary 1-node which may be absorbed by reorganizing the tree, or it ...
In languages with tagged unions such as ML, a tree node is often a tagged union of two types of nodes, one of which is a 3-tuple of data, left child, and right child, and the other of which is a "leaf" node, which contains no data and functions much like the null value in a language with pointers.
Leaf Node - Any node that has no children. Parent Node - Any node connected by a directed edge to its child or children. Child Node - Any node connected to a parent node by a directed edge. Depth - Length of the path from the root to the node. The set of all nodes at a given depth is sometimes called a level of the tree. The root node is at ...
Height: the height of node A is the length of the longest path through children to a leaf node. Internal node: a node with at least one child. Leaf node: a node with no children. Root node: a node distinguished from the rest of the tree nodes. Usually, it is depicted as the highest node of the tree.
Otherwise, push the middle value up into the parent node. Ascend into the parent node. Find the child whose interval contains the value to be inserted. If that child is a leaf, insert the value into the child node and finish. Otherwise, descend into the child and repeat from step 1. [3] [4]
A non-leaf node with k children contains k−1 keys. Each internal node's keys act as separation values which divide its subtrees. For example, if an internal node has 3 child nodes (or subtrees) then it must have 2 keys: a 1 and a 2.
In cryptography and computer science, a hash tree or Merkle tree is a tree in which every "leaf" node is labelled with the cryptographic hash of a data block, and every node that is not a leaf (called a branch, inner node, or inode) is labelled with the cryptographic hash of the labels of its child nodes.