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Rooted tree

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2010 Mathematics Subject Classification: Primary: 05C05 [MSN][ZBL]

A tree with a distinguished vertex, the root. A rooted tree has a natural orientation in which all paths are directed away from the root: such an oriented tree is an arborescence.

A rooted plane tree is one with a prescribed cyclic order of the edges incident with each vertex.

How to Cite This Entry:
Rooted tree. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Rooted_tree&oldid=42600