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leaf node (of a tree) (Definition)

A leaf of a tree is any node which has degree of exactly 1. Put another way, a leaf node of a rooted tree is any node which has no child nodes.

$$\xymatrix{ & \bullet \ar@{-}[dl] \ar@{-}[dr] & & & \\ {\color{red}\bullet} & & \bullet \ar@{-}[dr]\ar@{-}[dl] & & \\ & \bullet \ar@{-}[dl] & & {\color{red}\bullet} & \\ {\color{red}\bullet} & & & & }$$
Figure: A tree with leaf nodes highlighted in red.




"leaf node (of a tree)" is owned by akrowne.
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Other names:  leaf node, leaf
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Cross-references: child nodes, rooted tree, degree, node, tree
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This is version 2 of leaf node (of a tree), born on 2002-03-02, modified 2002-03-03.
Object id is 2741, canonical name is LeafNodeOfATree.
Accessed 11351 times total.

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

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