ExpressionGraph
ExpressionGraph[expr]
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

- ExpressionGraph generates a Graph object.
- ExpressionGraph is typically used to generate expression trees from Wolfram Language expressions.
- ExpressionGraph[expr] gives a tree graph with vertices {1,2,…} and "Subexpression" annotations for each vertex.
- ExpressionGraph takes the same options as Graph, with the following change:
-
FormatType StandardForm format type to use for vertex and edge labels

Examples
open allclose allBasic Examples (3)
Scope (5)
ExpressionGraph works with a formatted symbolic expression:
ExpressionGraph works with an expression containing subscripted variables:
Use VertexLabels->Automatic to generate a labeled graph:
Give a tree graph in which subexpressions that match form are leaves:
Options (82)
DirectedEdges (1)
By default, an undirected graph is generated:
Use DirectedEdges->True to generate a directed graph:
EdgeLabels (7)
Use any expression as a label:
Use Placed with symbolic locations to control label placement along an edge:
Use explicit coordinates to place labels:
Vary positions within the label:
Use automatic labeling by values through Tooltip and StatusArea:
EdgeShapeFunction (6)
Get a list of built-in settings for EdgeShapeFunction:
Undirected edges including the basic line:
Lines with different glyphs on the edges:
Directed edges including solid arrows:
Specify an edge function for an individual edge:
Combine with a different default edge function:
Draw edges by running a program:
EdgeShapeFunction can be combined with EdgeStyle:
EdgeShapeFunction has higher priority than EdgeStyle:
EdgeWeight (3)
GraphHighlightStyle (2)
Get a list of built-in settings for GraphHighlightStyle:
Use built-in settings for GraphHighlightStyle:
GraphLayout (5)
By default, the layout is chosen automatically:
Specify layouts on special curves:
Specify layouts that satisfy optimality criteria:
VertexCoordinates overrides GraphLayout coordinates:
Use AbsoluteOptions to extract VertexCoordinates computed using a layout algorithm:
PlotTheme (4)
VertexCoordinates (2)
By default, any vertex coordinates are computed automatically:
Extract the resulting vertex coordinates using AbsoluteOptions:
VertexLabels (13)
Use any expression as a label:
Use Placed with symbolic locations to control label placement, including outside positions:
Symbolic outside corner positions:
Symbolic inside corner positions:
Use explicit coordinates to place the center of labels:
Place all labels at the upper-right corner of the vertex and vary the coordinates within the label:
Any number of labels can be used:
Use the argument to Placed to control formatting including Tooltip:
Or StatusArea:
VertexShape (5)
Use any Graphics, Image or Graphics3D as a vertex shape:
Specify vertex shapes for individual vertices:
VertexShape can be combined with VertexSize:
VertexShape is not affected by VertexStyle:
VertexShapeFunction has higher priority than VertexShape:
VertexShapeFunction (10)
Get a list of built-in collections for VertexShapeFunction:
Use built-in settings for VertexShapeFunction in the "Basic" collection:
Use built-in settings for VertexShapeFunction in the "Rounded" collection:
Use built-in settings for VertexShapeFunction in the "Concave" collection:
Combine with a default vertex function:
Draw vertices using a predefined graphic:
Draw vertices by running a program:
VertexShapeFunction can be combined with VertexStyle:
VertexShapeFunction has higher priority than VertexStyle:
VertexShapeFunction can be combined with VertexSize:
VertexShapeFunction has higher priority than VertexShape:
VertexSize (8)
By default, the size of vertices is computed automatically:
Specify the size of all vertices using symbolic vertex size:
Use a fraction of the minimum distance between vertex coordinates:
Use a fraction of the overall diagonal for all vertex coordinates:
Specify size in both the and
directions:
Specify the size for individual vertices:
VertexSize can be combined with VertexShapeFunction:
VertexSize can be combined with VertexShape:
VertexStyle (5)
VertexShapeFunction can be combined with VertexStyle:
VertexShapeFunction has higher priority than VertexStyle:
VertexStyle can be combined with BaseStyle:
VertexStyle has higher priority than BaseStyle:
VertexShape is not affected by VertexStyle:
Applications (2)
Properties & Relations (5)
Use VertexCount and EdgeCount to count vertices and edges:
Use VertexList and EdgeList to enumerate vertices and edges in standard order:
Compute the AdjacencyMatrix from a graph:
FullForm gives a linear expression similar to ExpressionGraph:
Use TreeForm to plot a tree graph:
Possible Issues (1)
ExpressionGraph[expr] works on the evaluated expression expr:
Text
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.
APA
Wolfram Language. (2020). ExpressionGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ExpressionGraph.html