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=== Height-balanced trees === A tree is height-balanced if the heights of the left sub-tree and right sub-tree are guaranteed to be related by a constant factor. This property was introduced by the [[AVL tree]] and continued by the [[red–black tree]].{{r|peter11|pp=50-51}} The heights of all the nodes on the path from the root to the modified leaf node have to be observed and possibly corrected on every insert and delete operation to the tree.{{r|peter11|pp=52}}
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