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GraphTree[g]

constructs a tree from the tree graph g.

GraphTree[g,root]

specifies what vertex to use as the root.

GraphTree[g,root,h]

applies h to each vertex to get the corresponding data and ordering of subtrees.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Options  
Styling Individual Tree Elements  
Styling Entire Tree  
Tree Layout and Graphics Options  
Properties & Relations  
See Also
Related Guides
History
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GraphTree

GraphTree[g]

constructs a tree from the tree graph g.

GraphTree[g,root]

specifies what vertex to use as the root.

GraphTree[g,root,h]

applies h to each vertex to get the corresponding data and ordering of subtrees.

Details and Options

Examples

open all close all

Basic Examples  (2)

Transform a directed graph into a Tree object:

Wolfram Language code: GraphTree[[image]]

Specify an alternate root:

Wolfram Language code: GraphTree[[image], d]

Convert an undirected graph into a Tree object:

Wolfram Language code: GraphTree[[image]]

Scope  (4)

Transform a CompleteKaryTree graph into a tree:

Wolfram Language code: CompleteKaryTree[4]
Wolfram Language code: GraphTree[%]

Specify the root vertex:

Wolfram Language code: GraphTree[[image], 5]

Sort the siblings in reverse order:

Wolfram Language code: GraphTree[[image], 5, {#, -#}&]

Convert a StarGraph object into a tree:

Wolfram Language code: StarGraph[6]
Wolfram Language code: GraphTree[%]

Transform a TreeGraph object into a tree:

Wolfram Language code: TreeGraph[{1 -> 2, 1 -> 3, 1 -> 4, 4 -> 5, 4 -> 6}]
Wolfram Language code: GraphTree[%]

Options  (9)

Styling Individual Tree Elements  (2)

Specify the label for the generated tree element:

Wolfram Language code: GraphTree[CompleteKaryTree[2], TreeElementLabel -> "?"]

Specify labels and styles for subtrees by position:

Wolfram Language code: GraphTree[CompleteKaryTree[3, 3], TreeElementLabel -> {___, _ ? EvenQ} -> None, TreeElementStyle -> {___, _ ? OddQ} -> {LightRed, EdgeForm[{Red, Dashed}]}]

Styling Entire Tree  (4)

Specify labels and styles for all subtrees:

Wolfram Language code: GraphTree[CompleteKaryTree[4, 2], TreeElementLabel -> All -> None, TreeElementStyle -> All -> EdgeForm[Red]]

Specify the base style:

Wolfram Language code: GraphTree[CompleteKaryTree[4, 2], BaseStyle -> LightRed]

Specify the style for both the edges and the edges of the tree elements:

Wolfram Language code: GraphTree[CompleteKaryTree[4, 2], BaseStyle -> {Dashed, EdgeForm[{Dashing[{}], Thick}]}]

Specify the base style and styles for individual tree elements:

Wolfram Language code: GraphTree[CompleteKaryTree[4, 2], BaseStyle -> {Red, EdgeForm[None]}, TreeElementStyle -> All -> Opacity[0]]

Tree Layout and Graphics Options  (3)

Specify the orientation for the root:

Wolfram Language code: GraphTree[CompleteKaryTree[3, 2], TreeLayout -> Bottom]

Specify a named embedding:

Wolfram Language code: GraphTree[CompleteKaryTree[4, 4], TreeLayout -> "BalloonEmbedding", IconizedObject[«labels»]]

Specify Graphics options:

Wolfram Language code: GraphTree[TreeGraph[{1 -> 2, 1 -> 3}], Background -> LightBlue, ImageSize -> 50]

Properties & Relations  (3)

GraphTree can only transform TreeGraphQ objects:

Wolfram Language code: GraphTree[[image]]

If the graph is not TreeGraphQ, then GraphTree will fail:

Wolfram Language code: GraphTree[[image]]

Use TreeGraph to convert a tree into a Graph:

Wolfram Language code: TreeGraph[[image]]

GraphTree[TreeGraph[tree],{data,{}},Identity] is equivalent to tree, where TreeData[tree] gives data:

Wolfram Language code: TreeGraph[[image]]

The root vertex is of the form {data,{}}:

Wolfram Language code: VertexList[%]

Reconstruct the tree, sorting siblings by their position:

Wolfram Language code: GraphTree[%%, {1, {}}, Identity]
Wolfram Research (2021), GraphTree, Wolfram Language function, https://reference.wolfram.com/language/ref/GraphTree.html (updated 2021).

Text

Wolfram Research (2021), GraphTree, Wolfram Language function, https://reference.wolfram.com/language/ref/GraphTree.html (updated 2021).

CMS

Wolfram Language. 2021. "GraphTree." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2021. https://reference.wolfram.com/language/ref/GraphTree.html.

APA

Wolfram Language. (2021). GraphTree. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GraphTree.html

BibTeX

@misc{reference.wolfram_2026_graphtree, author="Wolfram Research", title="{GraphTree}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/GraphTree.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_graphtree, organization={Wolfram Research}, title={GraphTree}, year={2021}, url={https://reference.wolfram.com/language/ref/GraphTree.html}, note=[Accessed: 13-June-2026]}