In computer science, a binary tree is a tree data structure in which each node has at most two child nodes, usually distinguished as "left" and "right". Nodes with children are parent nodes, and child nodes may contain references to their parents. Outside the tree, there is often a reference to the "root" node (the ancestor of all nodes), if it exists. Any node in the data structure can be reached by starting at root node and repeatedly following references to either the left or right child. A tree which does not have any node other than root node is called a null tree. In a binary tree a degree of every node is maximum two. A tree with n nodes has exactly n−1 branches or degree.
Binary trees are used to implement binary search trees and binary heaps.
Read more about Binary Tree: Definitions For Rooted Trees, Types of Binary Trees, Properties of Binary Trees, Common Operations, Type Theory, Definition in Graph Theory, Combinatorics
Famous quotes containing the word tree:
“A tree is beautiful, but what’s more, it has a right to life; like water, the sun and the stars, it is essential. Life on earth is inconceivable without trees. Forests create climate, climate influences peoples’ character, and so on and so forth. There can be neither civilization nor happiness if forests crash down under the axe, if the climate is harsh and severe, if people are also harsh and severe.... What a terrible future!”
—Anton Pavlovich Chekhov (1860–1904)