Tree (data structure)

In computer science, a tree is a widely used abstract data type (ADT) — or data structure implementing this ADT — that simulates a hierarchical tree structure, with a root value and subtrees of children with a parent node, represented as a set of linked nodes.

Description

A tree data structure can be defined recursively (locally) as a collection of nodes (starting at a root node), where each node is a data structure consisting of a value, together with a list of references to nodes (the "children"), with the constraints that no reference is duplicated, and none points to the root.

Alternatively, a tree can be defined abstractly as a whole (globally) as an ordered tree, with a value assigned to each node.

Both these perspectives are useful: while a tree can be analyzed mathematically as a whole, when actually represented as a data structure it is usually represented and worked with separately by node (rather than as a list of nodes and an adjacency list of edges between nodes, as one may represent a digraph, for instance).

For example, looking at a tree as a whole, one can talk about "the parent node" of a given node, but in general as a data structure a given node only contains the list of its children, but does not contain a reference to its parent (if any).

See also

• Abstract data type
• Branching factor
• Computer science
• Computing
• Data structure
• Dialog tree
• Generative grammar
• Hierarchy (mathematics)
• Single inheritance
• Tree (graph theory)
• Tree (set theory)
• Tree structure

Other trees

• DSW algorithm
• Enfilade
• Hierarchical temporal memory
• Left child-right sibling binary tree
• Trie

External links

• Tree (data structure) @ Wikipedia