Difference between revisions of "Rooted tree"
From Encyclopedia of Mathematics
(Define rooted plane tree) |
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A ''rooted plane tree'' is one with a prescribed cyclic order of the edges incident with each vertex. | A ''rooted plane tree'' is one with a prescribed cyclic order of the edges incident with each vertex. | ||
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| + | [[File:Rooted tree 230000.svg|center|200px|An example of rooted tree]] | ||
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| + | [[Category:Graph theory]] | ||
Revision as of 08:06, 16 March 2023
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