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parent node (in a tree) (Definition)

A parent node $ P$ of a node $ C$ in a tree is the first node which lies along the path from $ C$ to the root of the tree, $ R$.

Drawn in the canonical root-at-top manner, the parent node of a node $ C$ in a tree is simply the node immediately above $ C$ which is connected to it.

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



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

Other names:  parent node, parent
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Cross-references: connected, canonical, root, path, tree, node
There are 18 references to this entry.

This is version 2 of parent node (in a tree), born on 2002-03-02, modified 2002-03-02.
Object id is 2742, canonical name is ParentNodeInATree.
Accessed 5935 times total.

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

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