WOLFRAM

ExpressionGraph
ExpressionGraph

gives the tree graph with different levels at different depths.

ExpressionGraph[expr,n]

gives the tree graph only down to level n.

ExpressionGraph[expr,n,form]

gives a tree graph in which subexpressions that match form are leaves.

Details and Options

Examples

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Basic Examples  (3)Summary of the most common use cases

Construct a graph from a symbolic expression formatted as a tree:

Out[3]=3

Display a nest expression as a symmetric tree:

Out[1]=1

An asymmetric tree:

Out[2]=2

Limit the depth of a graphic object:

Out[1]=1

Scope  (5)Survey of the scope of standard use cases

ExpressionGraph works with a formatted symbolic expression:

Out[1]=1

ExpressionGraph works with an expression containing subscripted variables:

Out[1]=1

A nested list:

Out[2]=2

A graphic object:

Out[3]=3

Limit the depth of the tree:

Out[1]=1

Use VertexLabels->Automatic to generate a labeled graph:

Out[1]=1

Give a tree graph in which subexpressions that match form are leaves:

Out[1]=1

Options  (82)Common values & functionality for each option

AnnotationRules  (3)

Specify an annotation for vertices:

Out[1]=1

Edges:

Out[1]=1

Graph itself:

Out[1]=1
Out[2]=2

DirectedEdges  (1)

By default, an undirected graph is generated:

Out[1]=1

Use DirectedEdges->True to generate a directed graph:

Out[2]=2

EdgeLabels  (7)

Label the edge 12:

Out[1]=1

Label all edges individually:

Out[1]=1
Out[2]=2

Use any expression as a label:

Out[1]=1

Use Placed with symbolic locations to control label placement along an edge:

Out[1]=1

Use explicit coordinates to place labels:

Out[1]=1

Vary positions within the label:

Out[2]=2

Place multiple labels:

Out[1]=1
Out[2]=2

Use automatic labeling by values through Tooltip and StatusArea:

Out[1]=1
Out[2]=2

EdgeShapeFunction  (6)

Get a list of built-in settings for EdgeShapeFunction:

Out[1]=1

Undirected edges including the basic line:

Out[1]=1

Lines with different glyphs on the edges:

Out[2]=2

Directed edges including solid arrows:

Out[1]=1

Line arrows:

Out[2]=2

Open arrows:

Out[3]=3

Specify an edge function for an individual edge:

Out[1]=1

Combine with a different default edge function:

Out[2]=2

Draw edges by running a program:

Out[2]=2

EdgeShapeFunction can be combined with EdgeStyle:

Out[1]=1

EdgeShapeFunction has higher priority than EdgeStyle:

Out[2]=2

EdgeStyle  (2)

Style all edges:

Out[1]=1

Style individual edges:

Out[1]=1

EdgeWeight  (3)

Specify a weight for all edges:

Out[1]=1

Use any numeric expression as a weight:

Out[1]=1

Specify weights for individual edges:

Out[1]=1
Out[2]=2

GraphHighlight  (3)

Highlight the vertex 1:

Out[1]=1

Highlight the edge 13:

Out[1]=1

Highlight vertices and edges:

Out[1]=1

GraphHighlightStyle  (2)

Get a list of built-in settings for GraphHighlightStyle:

Out[1]=1

Use built-in settings for GraphHighlightStyle:

Out[1]=1

GraphLayout  (5)

By default, the layout is chosen automatically:

Out[1]=1

Specify layouts on special curves:

Out[1]=1

Specify layouts that satisfy optimality criteria:

Out[1]=1

VertexCoordinates overrides GraphLayout coordinates:

Out[1]=1

Use AbsoluteOptions to extract VertexCoordinates computed using a layout algorithm:

Out[1]=1
Out[2]=2

PlotTheme  (4)

Base themes  (2)

Use a common base theme:

Out[1]=1

Use a monochrome theme:

Out[1]=1

Feature themes  (2)

Use a large graph theme:

Out[1]=1

Use a classic diagram theme:

Out[1]=1

VertexCoordinates  (2)

By default, any vertex coordinates are computed automatically:

Out[1]=1

Extract the resulting vertex coordinates using AbsoluteOptions:

Out[2]=2

Specify a layout function along an ellipse:

Out[2]=2

Use it to generate vertex coordinates for a graph:

Out[3]=3

VertexLabels  (13)

Use vertex names as labels:

Out[1]=1

Label individual vertices:

Out[1]=1

Label all vertices:

Out[1]=1

Use any expression as a label:

Out[1]=1

Use Placed with symbolic locations to control label placement, including outside positions:

Out[1]=1

Symbolic outside corner positions:

Out[2]=2

Symbolic inside positions:

Out[1]=1

Symbolic inside corner positions:

Out[2]=2

Use explicit coordinates to place the center of labels:

Out[1]=1

Place all labels at the upper-right corner of the vertex and vary the coordinates within the label:

Out[1]=1

Place multiple labels:

Out[1]=1

Any number of labels can be used:

Out[2]=2

Use the argument to Placed to control formatting including Tooltip:

Out[1]=1

Or StatusArea:

Out[2]=2

Use more elaborate formatting functions:

Out[2]=2
Out[4]=4
Out[6]=6

VertexShape  (5)

Use any Graphics, Image or Graphics3D as a vertex shape:

Out[1]=1

Specify vertex shapes for individual vertices:

Out[1]=1

VertexShape can be combined with VertexSize:

Out[1]=1

VertexShape is not affected by VertexStyle:

Out[1]=1

VertexShapeFunction has higher priority than VertexShape:

Out[1]=1

VertexShapeFunction  (10)

Get a list of built-in collections for VertexShapeFunction:

Out[1]=1

Use built-in settings for VertexShapeFunction in the "Basic" collection:

Out[1]=1

Simple basic shapes:

Out[2]=2

Common basic shapes:

Out[3]=3

Use built-in settings for VertexShapeFunction in the "Rounded" collection:

Out[1]=1
Out[2]=2

Use built-in settings for VertexShapeFunction in the "Concave" collection:

Out[1]=1
Out[2]=2

Draw individual vertices:

Out[1]=1

Combine with a default vertex function:

Out[2]=2

Draw vertices using a predefined graphic:

Out[1]=1

Draw vertices by running a program:

Out[2]=2

VertexShapeFunction can be combined with VertexStyle:

Out[2]=2

VertexShapeFunction has higher priority than VertexStyle:

Out[4]=4

VertexShapeFunction can be combined with VertexSize:

Out[1]=1

VertexShapeFunction has higher priority than VertexShape:

Out[1]=1

VertexSize  (8)

By default, the size of vertices is computed automatically:

Out[1]=1

Specify the size of all vertices using symbolic vertex size:

Out[1]=1

Use a fraction of the minimum distance between vertex coordinates:

Out[1]=1

Use a fraction of the overall diagonal for all vertex coordinates:

Out[1]=1

Specify size in both the and directions:

Out[1]=1

Specify the size for individual vertices:

Out[1]=1

VertexSize can be combined with VertexShapeFunction:

Out[1]=1

VertexSize can be combined with VertexShape:

Out[1]=1

VertexStyle  (5)

Style all vertices:

Out[1]=1

Style individual vertices:

Out[1]=1

VertexShapeFunction can be combined with VertexStyle:

Out[2]=2

VertexShapeFunction has higher priority than VertexStyle:

Out[4]=4

VertexStyle can be combined with BaseStyle:

Out[1]=1

VertexStyle has higher priority than BaseStyle:

Out[2]=2

VertexShape is not affected by VertexStyle:

Out[1]=1

VertexWeight  (3)

Set the weight for all vertices:

Out[1]=1
Out[2]=2

Specify the weight for individual vertices:

Out[1]=1
Out[2]=2

Use any numeric expression as a weight:

Out[1]=1
Out[2]=2

Applications  (2)Sample problems that can be solved with this function

Visualize the Wolfram axiom for Boolean algebra as a tree:

Out[1]=1

Generate recursive programming tree:

Out[2]=2

Properties & Relations  (5)Properties of the function, and connections to other functions

Use VertexCount and EdgeCount to count vertices and edges:

Out[1]=1
Out[2]=2

Use VertexList and EdgeList to enumerate vertices and edges in standard order:

Out[1]=1
Out[2]=2

Compute the AdjacencyMatrix from a graph:

Out[1]=1

FullForm gives a linear expression similar to ExpressionGraph:

Out[2]=2

Use TreeForm to plot a tree graph:

Possible Issues  (1)Common pitfalls and unexpected behavior

ExpressionGraph[expr] works on the evaluated expression expr:

Out[12]=12
Out[13]=13

Neat Examples  (2)Surprising or curious use cases

A complete binary tree:

Out[1]=1
Out[2]=2

A complete ternary tree:

Out[3]=3
Out[4]=4

The RGB color cube expression tree:

Out[1]=1
Wolfram Research (2020), ExpressionGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ExpressionGraph.html.
Wolfram Research (2020), ExpressionGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ExpressionGraph.html.

Text

Wolfram Research (2020), ExpressionGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ExpressionGraph.html.

Wolfram Research (2020), ExpressionGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/ExpressionGraph.html.

CMS

Wolfram Language. 2020. "ExpressionGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ExpressionGraph.html.

Wolfram Language. 2020. "ExpressionGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ExpressionGraph.html.

APA

Wolfram Language. (2020). ExpressionGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ExpressionGraph.html

Wolfram Language. (2020). ExpressionGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ExpressionGraph.html

BibTeX

@misc{reference.wolfram_2025_expressiongraph, author="Wolfram Research", title="{ExpressionGraph}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/ExpressionGraph.html}", note=[Accessed: 29-March-2025 ]}

@misc{reference.wolfram_2025_expressiongraph, author="Wolfram Research", title="{ExpressionGraph}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/ExpressionGraph.html}", note=[Accessed: 29-March-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_expressiongraph, organization={Wolfram Research}, title={ExpressionGraph}, year={2020}, url={https://reference.wolfram.com/language/ref/ExpressionGraph.html}, note=[Accessed: 29-March-2025 ]}

@online{reference.wolfram_2025_expressiongraph, organization={Wolfram Research}, title={ExpressionGraph}, year={2020}, url={https://reference.wolfram.com/language/ref/ExpressionGraph.html}, note=[Accessed: 29-March-2025 ]}