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Wolfram Language & System Documentation Center
LayeredGraph
  • See Also
    • Graph
    • UndirectedEdge
    • DirectedEdge
    • LayeredGraphPlot
    • LayeredGraphPlot3D
    • TreePlot
    • GraphPlot
    • GraphPlot3D
    • CommunityGraphPlot
    • GraphLayout
    • GraphEmbedding
    • See Also
      • Graph
      • UndirectedEdge
      • DirectedEdge
      • LayeredGraphPlot
      • LayeredGraphPlot3D
      • TreePlot
      • GraphPlot
      • GraphPlot3D
      • CommunityGraphPlot
      • GraphLayout
      • GraphEmbedding

LayeredGraph[g]

creates a graph with vertices and edges from the graph g represented as a layered plot.

LayeredGraph[{e1,e2,…}]

creates a graph with edges ej represented as a layered plot.

LayeredGraph[{…,w[ei],…}]

creates a graph with edges ei with features defined by the symbolic wrapper w.

LayeredGraph[…,vpos]

places the dominant vertex v in the plot at position pos.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Graph Specification  
Graph Styling  
Options  
AnnotationRules  
DirectedEdges  
EdgeLabels  
Show More Show More
EdgeShapeFunction  
EdgeStyle  
EdgeWeight  
GraphHighlight  
GraphHighlightStyle  
PlotTheme  
Base Themes  
Feature Themes  
VertexLabels  
VertexShape  
VertexShapeFunction  
VertexSize  
VertexStyle  
VertexWeight  
Applications  
Possible Issues  
Neat Examples  
See Also
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • Graph
    • UndirectedEdge
    • DirectedEdge
    • LayeredGraphPlot
    • LayeredGraphPlot3D
    • TreePlot
    • GraphPlot
    • GraphPlot3D
    • CommunityGraphPlot
    • GraphLayout
    • GraphEmbedding
    • See Also
      • Graph
      • UndirectedEdge
      • DirectedEdge
      • LayeredGraphPlot
      • LayeredGraphPlot3D
      • TreePlot
      • GraphPlot
      • GraphPlot3D
      • CommunityGraphPlot
      • GraphLayout
      • GraphEmbedding

LayeredGraph

LayeredGraph[g]

creates a graph with vertices and edges from the graph g represented as a layered plot.

LayeredGraph[{e1,e2,…}]

creates a graph with edges ej represented as a layered plot.

LayeredGraph[{…,w[ei],…}]

creates a graph with edges ei with features defined by the symbolic wrapper w.

LayeredGraph[…,vpos]

places the dominant vertex v in the plot at position pos.

Details and Options

  • LayeredGraph generates a Graph object and displays it in a notebook as a layered plot of the graph.
  • LayeredGraph supports the same vertices, edges and wrappers as Graph.
  • LayeredGraph by default puts "dominant" vertices at the top and vertices lower in the "hierarchy" progressively further down.
  • LayeredGraph[g,pos] places the dominant vertices at position pos.
  • Possible positions pos are: Top, Bottom, Left, Right.
  • By default, LayeredGraph places each dominant vertex at the top.
  • LayeredGraph has the same options as Graph.
  • List of all options

    • AlignmentPointCenterthe default point in the graphic to align with
      AnnotationRules {}annotations for graph, edges and vertices
      AspectRatioAutomaticratio of height to width
      AxesFalsewhether to draw axes
      AxesLabelNoneaxes labels
      AxesOriginAutomaticwhere axes should cross
      AxesStyle{}style specifications for the axes
      BackgroundNonebackground color for the plot
      BaselinePositionAutomatichow to align with a surrounding text baseline
      BaseStyle{}base style specifications for the graphic
      ContentSelectableAutomaticwhether to allow contents to be selected
      CoordinatesToolOptionsAutomaticdetailed behavior of the coordinates tool
      DirectedEdges Automaticwhether to interpret Rule as DirectedEdge
      EdgeLabels Nonelabels and label placements for edges
      EdgeLabelStyleAutomaticstyle to use for edge labels
      EdgeShapeFunction Automaticgenerate graphic shapes for edges
      EdgeStyle Automaticstyle used for edges
      EdgeWeight Automaticweights for edges
      Epilog{}primitives rendered after the main plot
      FormatTypeTraditionalFormthe default format type for text
      FrameFalsewhether to put a frame around the plot
      FrameLabelNoneframe labels
      FrameStyle{}style specifications for the frame
      FrameTicksAutomaticframe ticks
      FrameTicksStyle{}style specifications for frame ticks
      GraphHighlight {}graph elements to highlight
      GraphHighlightStyle Automaticstyle for highlight
      GraphLayoutAutomatichow to lay out vertices and edges
      GridLinesNonegrid lines to draw
      GridLinesStyle{}style specifications for grid lines
      ImageMargins0.the margins to leave around the graphic
      ImagePaddingAllwhat extra padding to allow for labels etc.
      ImageSizeAutomaticthe absolute size at which to render the graphic
      LabelStyle{}style specifications for labels
      MethodAutomaticdetails of graphics methods to use
      PerformanceGoalAutomaticaspects of performance to try to optimize
      PlotLabelNonean overall label for the plot
      PlotRangeAllrange of values to include
      PlotRangeClippingFalsewhether to clip at the plot range
      PlotRangePaddingAutomatichow much to pad the range of values
      PlotRegionAutomaticthe final display region to be filled
      PlotTheme $PlotThemeoverall theme for the graph
      PreserveImageOptionsAutomaticwhether to preserve image options when displaying new versions of the same graphic
      Prolog{}primitives rendered before the main plot
      RotateLabelTruewhether to rotate y labels on the frame
      TicksAutomaticaxes ticks
      TicksStyle{}style specifications for axes ticks
      VertexCoordinatesAutomaticcoordinates for vertices
      VertexLabels Nonelabels and placements for vertices
      VertexLabelStyleAutomaticstyle to use for vertex labels
      VertexShape Automaticgraphic shape for vertices
      VertexShapeFunction Automaticgenerate graphic shapes for vertices
      VertexSize Mediumsize of vertices
      VertexStyle Automaticstyles for vertices
      VertexWeight Automaticweights for vertices

Examples

open all close all

Basic Examples  (5)

A layered graph:

Create a layered graph specified by edge rules:

Create a layered graph specified by its adjacency matrix:

A layered graph with different orientation from the default:

Specify the root node:

Scope  (9)

Graph Specification  (6)

Specify a graph using a graph:

Create an undirected layered graph using  characters; enter the character as ue:

Create a directed layered graph using  characters; enter the character as de:

Create a layered graph using a rule list:

Create a layered graph using a dense adjacency matrix:

Create a layered graph using a sparse adjacency matrix:

Graph Styling  (3)

Give labels for some edges:

Give vertex labels:

Create with different orientations:

Options  (75)

AnnotationRules  (3)

Specify an annotation for vertices:

Edges:

Graph itself:

DirectedEdges  (2)

By default, a directed layered graph is generated when giving a list of rules:

Use DirectedEdges->False to interpret rules as undirected edges:

Use DirectedEdge or UndirectedEdge to directly specify whether a graph is directed or not:

EdgeLabels  (7)

Label the edge 12:

Label all edges:

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:

Place multiple labels using Placed in a wrapper:

Any number of labels can be used:

Place multiple labels using EdgeLabels:

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:

Line arrows:

Open 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:

EdgeStyle  (2)

Style all edges:

Style individual edges:

EdgeWeight  (2)

Specify the weight for all edges:

Use any numeric expression as a weight:

GraphHighlight  (3)

Highlight the vertex 1:

Highlight the edge 12:

Highlight vertices and edges:

GraphHighlightStyle  (2)

Get a list of built-in settings for GraphHighlightStyle:

Use built-in settings for GraphHighlightStyle:

PlotTheme  (4)

Base Themes  (2)

Use a common base theme:

Use a monochrome theme:

Feature Themes  (2)

Use a large graph theme:

Use a classic diagram theme:

VertexLabels  (13)

Use vertex names as labels:

Label individual vertices:

Label all vertices:

Use any expression as a label:

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

Symbolic outside-corner positions:

Symbolic inside positions:

Symbolic inside-corner positions:

Use explicit coordinates to place the centers of labels:

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

Place multiple labels using Placed in a wrapper:

Any number of labels can be used:

Place multiple labels using VertexLabels:

Use the argument to Placed to control formatting including Tooltip:

Or StatusArea:

Use more elaborate formatting functions:

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:

Simple basic shapes:

Common basic shapes:

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

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

Draw individual vertices:

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 sizes for individual vertices:

VertexSize can be combined with VertexShapeFunction:

VertexSize can be combined with VertexShape:

VertexStyle  (5)

Style all vertices:

Style individual vertices:

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:

VertexWeight  (3)

Set the weight for all vertices:

Specify the weights for individual vertices:

Use any numeric expression as a weight:

Applications  (5)

A food chain:

A chart showing the relationships between shapes:

A flow chart for a computer program:

A visual representation of a straight-line program, used for common subexpression elimination:

The relationships between early versions of the Unix operating system:

Possible Issues  (1)

When vertex coordinates are specified, all edges are shown as straight lines:

If explicit vertex coordinates are not specified, curved edges will be used:

Neat Examples  (1)

Plot isotope decay networks:

Uranium-235:

Polonium-189:

Plutonium-239:

See Also

Graph  UndirectedEdge  DirectedEdge  LayeredGraphPlot  LayeredGraphPlot3D  TreePlot  GraphPlot  GraphPlot3D  CommunityGraphPlot  GraphLayout  GraphEmbedding

History

Introduced in 2024 (14.0)

Wolfram Research (2024), LayeredGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/LayeredGraph.html.

Text

Wolfram Research (2024), LayeredGraph, Wolfram Language function, https://reference.wolfram.com/language/ref/LayeredGraph.html.

CMS

Wolfram Language. 2024. "LayeredGraph." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/LayeredGraph.html.

APA

Wolfram Language. (2024). LayeredGraph. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/LayeredGraph.html

BibTeX

@misc{reference.wolfram_2025_layeredgraph, author="Wolfram Research", title="{LayeredGraph}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/LayeredGraph.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_layeredgraph, organization={Wolfram Research}, title={LayeredGraph}, year={2024}, url={https://reference.wolfram.com/language/ref/LayeredGraph.html}, note=[Accessed: 01-December-2025]}

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