# binary tree

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## binary tree

[′bīn·ə·rē ′trē]
(mathematics)
A rooted tree in which each vertex has a maximum of two successors.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## binary tree

(btree) A tree in which each node has at most two successors or child nodes. In Haskell this could be represented as

data BTree a = NilTree | Node a (BTree a) (BTree a)

## binary tree

A data structure in which each node contains one parent and no more than two children. See quad tree and splay tree.

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References in periodicals archive ?
Binary trees proved to be smaller and more accurate, avoiding also the so called replication problem --the appearance of more identical or similar subtrees in a non-binary decision tree.
Binary Trees, Available from: https://www.cs.cmu.edu/ ~adamchik/15-121/lectures/Trees/trees.html.
He covers a review of C++, analyzing algorithms, stacks and queues, recursion, binary trees, sorting, hash tables, and graphs.
Loe, "Embedding of binary trees into hypercubes," Journal of Parallel and Distributed Computing, vol.
However, for n points in convex position, 2n-10 flips are sufficient, due to a bijection with binary trees with n - 2 internal nodes [37].
In Chapter 4, we describe a well-known bijection between binary trees and 132-avoiding permutations.
By [1, Theorem 44] this implies that SL(3,Z) embeds coarsely into a finite product of binary trees. Take [[GAMMA].sub.0] a solvable group with a free semigroup.
The 27 regular papers discuss such topics as heuristics for determining the elimination ordering in the influence diagram evaluation with binary trees, combining constraint types from public data in aerial image segmentation, and towards a machine learning algorithm for predicting truck compressor failures using logged vehicle data.
The decision binary trees can be used successfully for pattern classification, especially in the case of nonlinear class separability.
We also draw the link between binary trees and formal concept lattice at the end of this section.

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