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In computer science, a tree is a widely used abstract data type that simulates a hierarchical tree structure, with a root value and subtrees of children with a , represented as a set of linked nodes. A tree data structure can be defined recursively 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.

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• In computer science, a tree is a widely used abstract data type that simulates a hierarchical tree structure, with a root value and subtrees of children with a , represented as a set of linked nodes. A tree data structure can be defined recursively 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 set of nodes and an adjacency list of edges between nodes, as one may represent a , 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). (en)
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• : cycle B→C→E→D→B. B has more than one parent . (en)
• Each linear list is trivially (en)
• : two non-connected parts, A→B and C→D→E. There is more than one root. (en)
• : undirected cycle 1-2-4-3. 4 has more than one parent . (en)
• : cycle A→A. A is the root but it also has a parent. (en)
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• An unordered tree is a structure where is a set of nodes and is a child-to-parent relation between nodes such that: (en)
• is functional. (en)
• is non-empty. (en)
• is weakly connected in . (en)
• satisfies ACC: there is no infinite sequence . (en)
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• width:10%; font-weight:100; vertical-align:top; line-height: 1.3; padding: 0 0.5em 0 0; (en)
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• In computer science, a tree is a widely used abstract data type that simulates a hierarchical tree structure, with a root value and subtrees of children with a , represented as a set of linked nodes. A tree data structure can be defined recursively 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. (en)
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• Tree (data structure) (en)
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