Definition: The maximum distance of any node from the root. If a tree has only one node (the root), the height is zero. The height of an empty tree is not defined.

See also depth, level.

Note: An equivalent definition is: the height is the maximum depth of any node.

The height of the figure at the definition of tree is two.

The height of a tree is also known as the order.

Author: PEB

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Entry modified 26 May 2011.
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Cite this as:
Paul E. Black, "height", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 26 May 2011. (accessed TODAY) Available from: