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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
tree
A directed acyclic graph; i.e. a graph
wherein there is only one route between any pair of nodes,
and there is a notion of "toward top of the tree" (i.e. the
root node), and its opposite direction, toward the leaves.
A tree with n nodes has n-1 edges.
Although maybe not part of the widest definition of a tree, a
common constraint is that no node can have more than one
parent. Moreover, for some applications, it is necessary to
consider a node's daughter nodes to be an ordered list,
instead of merely a set.
As a data structure in computer programs, trees are used in
everything from B-trees in databases and file systems, to
game trees in game theory, to syntax trees in a human or
computer languages.
(1998-11-12)