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child node (of a tree) (Definition)

A child node $ C$ of a node $ P$ in a tree is any node connected to $ P$ which has a path distance from the root node $ R$ which is one greater than the path distance between $ P$ and $ R$.

Drawn in the canonical root-at-top manner, a child node of a node $ P$ in a tree is simply any node immediately below $ P$ which is connected to it.

$\displaystyle \begin{xy} *!C\xybox{ \xymatrix{ & \bullet \ar@{-}[dl] \ar@{-}[dr... ...bullet} \ar@{-}[dl] & & {\color{red}\bullet} & \ \bullet & & & & } } \end{xy}$
Figure: A node (blue) and its children (red.)



"child node (of a tree)" is owned by akrowne.
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See Also: parent node (in a tree)

Other names:  child node, child
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Cross-references: children, canonical, root, distance, path, connected, tree, node
There are 9 references to this entry.

This is version 1 of child node (of a tree), born on 2002-03-02.
Object id is 2744, canonical name is ChildNodeOfATree.
Accessed 4860 times total.

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

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