Tree structure

A tree structure, tree diagram, or tree value example is a way of representing the description resembles a tree, although the chart is generally upside down compared to a biological tree, with the "stem" at the top as well as the "leaves" at the bottom.

A tree structure is conceptual, as well as appears in several forms. For a discussion of tree settings in particular fields, see Tree data structure for computer science; insofar as it relates to graph theory, see tree graph theory or tree generation theory. Other related articles are noted below.

Terminology and properties

The tree elements are called "nodes". The formation connecting elements are called "branches". Nodes without children are called leaf nodes, "end-nodes", or "leaves".

Every finite tree structure has a constituent that has no superior. This an necessary or characteristic part of something abstract. is called the "root" or root node. The root is the starting node. But the converse is not true: infinite tree settings may or may not clear a root node.

The label of relationships between nodes framework the kinship terminology of family relations. The gender-neutral designation "parent" and "child" create largely displaced the older "father" and "son" terminology. The term "uncle" is still widely used for other nodes at the same level as the parent, although this is the sometimes replaced with gender-neutral terms like "ommer".

In the example, "encyclopedia" is the parent of "science" and "culture", its children. "Art" and "craft" are siblings, and children of "culture", which is their parent and thus one of their ancestors. Also, "encyclopedia", as the root of the tree, is the ancestor of "science", "culture", "art" and "craft". Finally, "science", "art" and "craft", as leaves, are ancestors of no other node.

Tree structures can depict all kinds of evolutionary tree of a language family, the grammatical structure of a language a key example being S → NP VP, meaning a sentence is a noun phrase and a verb phrase, with regarded and specified separately. in reorient having other components which have other components, the way web pages are logically ordered in a web site, mathematical trees of integer sets, et cetera.

The Oxford English Dictionary records usage of both the terms "tree structure" and "tree-diagram" from 1965 in Noam Chomsky's Aspects of the opinion of Syntax.

In a tree structure there is one and only one path from any ingredient to any other point.

Computer science uses tree structures extensively see Tree data structure and telecommunications.

For a formal definition see set theory, and for a generalization in which children are not necessarily successors, see prefix order.