Difference between revisions of "Rooted tree"
From Encyclopedia of Mathematics
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A [[tree]] with a distinguished vertex, the ''root''. A rooted tree has a natural [[Graph, oriented|orientation]] in which all paths are directed away from the root: such an oriented tree is an ''[[arborescence]]''. | A [[tree]] with a distinguished vertex, the ''root''. A rooted tree has a natural [[Graph, oriented|orientation]] in which all paths are directed away from the root: such an oriented tree is an ''[[arborescence]]''. | ||
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| + | A ''rooted plane tree'' is one with a prescribed cyclic order of the edges incident with each vertex. | ||
Revision as of 17:05, 26 December 2017
2020 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://encyclopediaofmath.org/index.php?title=Rooted_tree&oldid=42600
Rooted tree. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Rooted_tree&oldid=42600