Preorder

:This article is about the mathematics concept. For preorder traversal of a tree data structure, see tree traversal.

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In mathematics, especially in order theory, preorders are certain kinds of binary relations that are closely related to partially ordered sets. The name quasiorder is also a common expression for preorders. Many order theoretical definitions for partially ordered sets can be generalized to preorders, but the extra effort of generalization is rarely needed.

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Tree data structure: In computer science, a tree is a widely-used computer data structure that emulates a tree structure with a set of linked nodes. Each node has zero or more child nodes, which are below it in the tree (in computer science, unlike in nature, trees grow down, not up). A node that has a child is called ...

Tree traversal: In computer science, tree traversal is the process of visiting each node in a tree data structure. Tree traversal, also called walking the tree, provides for sequential processing of each node in what is, by nature, a non-sequential data structure....

Order theory: Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering. This article gives a detailed introduction to the field and includes some of the most basic definitions. For a quick lookup of order theoretic terms, t...

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