Definition: A tree with at most two children for each node.
Formal Definition: A binary tree either
Also known as dyadic tree.
Generalization (I am a kind of ...)
tree, k-ary tree with k=2.
Specialization (... is a kind of me.)
complete binary tree, full binary tree, binary search tree, binary heap, balanced binary tree, threaded tree, Fibonacci tree, extended binary tree.
Note: Formal definition after [CLR90, page 94].
An early use of the term "dyadic tree" is in Georgii M. Adelson-Velskii and Evgenii M. Landis, An algorithm for the organization of information, Doklady Akademii Nauk SSSR, 146:263-266, 1962 (Russian). English translation by Myron J. Ricci in Soviet Math. Doklady, 3:1259-1263, 1962.
(Doklady is Russian for "Report". Sometimes transliterated in English as Doclady or Dokladi.)
If you have suggestions, corrections, or comments, please get in touch with Paul E. Black.
Entry modified 14 August 2008.
HTML page formatted Tue Dec 6 16:16:32 2011.
Cite this as:
Paul E. Black, "binary tree", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 14 August 2008. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/binarytree.html