In computer science, a binary tree is a tree data structure in which each node has at most two children. Typically the first node is known as the parent and the child nodes are called left and right. In type theory, a binary tree with nodes of type A is defined inductively as TA = μα. 1 + A × α × α. Binary trees are commonly used to implement binary search trees and binary heaps.
A rooted tree has a top node as root.
- Note that this terminology ...
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In computer science, a binary tree is a tree data structure in which each node has at most two children. Typically the first node is known as the parent and the child nodes are called left and right. In type theory, a binary tree with nodes of type A is defined inductively as TA = μα. 1 + A × α × α. Binary trees are commonly used to implement binary search trees and binary heaps.
A rooted tree has a top node as root.
- Note that this terminology often varies in the literature, especially with respect to the meaning "complete" and "full".
Graph theorists use the following definition: A binary tree is a connected acyclic graph such that the degree of each vertex is no more than 3. It can be shown that in any binary tree, there are exactly two more nodes of degree one than there are of degree three, but there can be any number of nodes of degree two. A rooted binary tree is such a graph that has one of its vertices of degree no more than 2 singled out as the root.
With the root thus...
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