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internal node (of a tree) (Definition)

An internal node of a tree is any node which has degree greater than one. Or, phrased in rooted tree terminology, the internal nodes of a tree are the nodes which have at least one child node.

$\displaystyle \begin{xy} *!C\xybox{ \xymatrix{ & {\color{red}\bullet} \ar@{-}[d... ...{\color{red}\bullet} \ar@{-}[dl] & & \bullet & \ \bullet & & & & } } \end{xy}$
Figure: A tree with internal nodes highlighted in red.



"internal node (of a tree)" is owned by akrowne.
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Other names:  internal node
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Cross-references: child node, rooted tree, degree, node, tree
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This is version 3 of internal node (of a tree), born on 2002-03-02, modified 2002-03-03.
Object id is 2740, canonical name is InternalNodeOfATree.
Accessed 4439 times total.

Classification:
AMS MSC05C05 (Combinatorics :: Graph theory :: Trees)

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