- A k-ary
*k = 2* tree data structure in which each node has at most two children, which are referred to as the left child and the right child. A recursive definition using just set theory notions is that a (non-empty) binary tree is a tuple *(L, S, R)*, where *L* and *R* are binary trees or the empty set, and *S* is a singleton set containing the root. Some authors allow the binary tree to be the empty set as well. ← Wikipedia

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