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CommunityGraphPlot
  • See Also
    • FindGraphCommunities
    • FindGraphPartition
    • Graph
    • GraphPlot
    • LayeredGraphPlot
    • GraphLayout
    • GraphEmbedding
  • Related Guides
    • Social Network Analysis
    • Graph Visualization
    • Cluster Analysis
    • Graphs & Networks
    • See Also
      • FindGraphCommunities
      • FindGraphPartition
      • Graph
      • GraphPlot
      • LayeredGraphPlot
      • GraphLayout
      • GraphEmbedding
    • Related Guides
      • Social Network Analysis
      • Graph Visualization
      • Cluster Analysis
      • Graphs & Networks

CommunityGraphPlot[g]

generates a plot showing the community structure of the graph g.

CommunityGraphPlot[g,{{vi1,vi2,…},…}]

generates a plot for the graph g with communities {vi1,vi2,…}, ….

CommunityGraphPlot[g,{…,wj[{vi1,…}],…}]

generates a plot with highlighting features defined by the symbol wrappers wj.

CommunityGraphPlot[{vi1vj1,vi2vj2,…},…]

generates a plot for a graph in which vertex vik is connected to vertex vjk.

CommunityGraphPlot[m,…]

generates a plot for a graph represented by the adjacency matrix m.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Options  
AspectRatio  
CommunityBoundaryStyle  
CommunityLabels  
CommunityRegionStyle  
Method  
PlotLegends  
See Also
Related Guides
Related Links
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • FindGraphCommunities
    • FindGraphPartition
    • Graph
    • GraphPlot
    • LayeredGraphPlot
    • GraphLayout
    • GraphEmbedding
  • Related Guides
    • Social Network Analysis
    • Graph Visualization
    • Cluster Analysis
    • Graphs & Networks
    • See Also
      • FindGraphCommunities
      • FindGraphPartition
      • Graph
      • GraphPlot
      • LayeredGraphPlot
      • GraphLayout
      • GraphEmbedding
    • Related Guides
      • Social Network Analysis
      • Graph Visualization
      • Cluster Analysis
      • Graphs & Networks

CommunityGraphPlot

CommunityGraphPlot[g]

generates a plot showing the community structure of the graph g.

CommunityGraphPlot[g,{{vi1,vi2,…},…}]

generates a plot for the graph g with communities {vi1,vi2,…}, ….

CommunityGraphPlot[g,{…,wj[{vi1,…}],…}]

generates a plot with highlighting features defined by the symbol wrappers wj.

CommunityGraphPlot[{vi1vj1,vi2vj2,…},…]

generates a plot for a graph in which vertex vik is connected to vertex vjk.

CommunityGraphPlot[m,…]

generates a plot for a graph represented by the adjacency matrix m.

Details and Options

  • CommunityGraphPlot attempts to draw the vertices grouped into communities.
  • The following wrappers wi can be used for communities:
  • Annotation[a,label]provide an annotation
    Button[a,action]define an action to execute when the element is clicked
    EventHandler[a,…]define a general event handler for the element
    Hyperlink[a,uri]make the element act as a hyperlink
    Labeled[a,…]display the element with labeling
    PopupWindow[a,cont]attach a popup window to the element
    Annotation[a,namevalue]set an annotation for the element
    StatusArea[a,label]display in the status area when moused over
    Style[a,opts]show the element using the specified styles
    Tooltip[a,label]attach an arbitrary tooltip to the element
  • CommunityGraphPlot has the same options as Graph, with the following additions and changes: [List of all options]
  • CommunityRegionStyle Automaticstyle of community region
    CommunityBoundaryStyle Automaticstyle of community boundary
    CommunityLabels Nonelabels for communities
    Method Automaticmethods to use
    PlotLegends Nonelegend for communities
  • Possible settings for PlotTheme include common base themes:
  • "Business"a bright, modern look appropriate for business presentations or infographics
    "Detailed"identify data by employing labels and tooltips
    "Marketing"elegant, eye-catching design suitable for marketing needs
    "Minimal"simple graph
    "Monochrome"single-color design
    "Scientific"candid design useful for analyzing detailed data with labels and tooltips
    "Web"clean, bold design suitable for a consumer website or blog
    "Classic"historical design of graph to remain compatible with existing uses
  • 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
      CommunityBoundaryStyleAutomaticstyle of community boundary
      CommunityLabelsNonelabels for communities
      CommunityRegionStyleAutomaticstyle of community region
      ContentSelectableAutomaticwhether to allow contents to be selected
      CoordinatesToolOptionsAutomaticdetailed behavior of the coordinates tool
      DirectedEdgesAutomaticwhether to interpret Rule as DirectedEdge
      EdgeLabelsNonelabels and label placements for edges
      EdgeLabelStyleAutomaticstyle to use for edge labels
      EdgeShapeFunctionAutomaticgenerate graphic shapes for edges
      EdgeStyleAutomaticstyle used for edges
      EdgeWeightAutomaticweights 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
      GraphHighlightStyleAutomaticstyle 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
      MethodAutomaticmethods to use
      PerformanceGoalAutomaticaspects of performance to try to optimize
      PlotLabelNonean overall label for the plot
      PlotLegendsNonelegend for communities
      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
      VertexLabelsNonelabels and placements for vertices
      VertexLabelStyleAutomaticstyle to use for vertex labels
      VertexShapeAutomaticgraphic shape for vertices
      VertexShapeFunctionAutomaticgenerate graphic shapes for vertices
      VertexSizeMediumsize of vertices
      VertexStyleAutomaticstyles for vertices
      VertexWeightAutomaticweights for vertices

Examples

open all close all

Basic Examples  (2)

Show communities in a graph:

Find communities:

Show the communities:

Scope  (8)

CommunityGraphPlot works with undirected graphs:

Directed graphs:

Multigraphs:

Mixed graphs:

Specify a graph using a rule list:

Adjacency matrix:

Specify communities:

Wrappers:

Options  (17)

AspectRatio  (2)

By default, CommunityGraphPlot automatically determines the height to width ratio for the plot:

Make the height the same as the width with AspectRatio1:

CommunityBoundaryStyle  (4)

The default community boundary style is a gray line:

Use black boundary lines:

Use None to not show boundary lines:

Alternate between red and dashed boundary lines:

CommunityLabels  (3)

Generate labels for communities:

Use Labeled to specify individual labels:

Use Placed to control the placement of labels:

CommunityRegionStyle  (3)

The default community region style is None:

This can also be obtained with CommunityRegionStyle->None:

Use green colors on community regions:

Alternate between red and blue colors on community regions:

Method  (2)

By default, CommunityGraphPlot uses a force-directed layout:

This can also be obtained with Method->"SpringElectrical":

Use Method->"Hierarchical" for a hierarchical layout:

PlotLegends  (3)

Generate a legend for communities:

Use Legended to specify individual legend entries:

Use Placed to control the placement of legends:

See Also

FindGraphCommunities  FindGraphPartition  Graph  GraphPlot  LayeredGraphPlot  GraphLayout  GraphEmbedding

Related Guides

    ▪
  • Social Network Analysis
  • ▪
  • Graph Visualization
  • ▪
  • Cluster Analysis
  • ▪
  • Graphs & Networks

Related Links

  • An Elementary Introduction to the Wolfram Language : Graphs and Networks

History

Introduced in 2012 (9.0)

Wolfram Research (2012), CommunityGraphPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/CommunityGraphPlot.html.

Text

Wolfram Research (2012), CommunityGraphPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/CommunityGraphPlot.html.

CMS

Wolfram Language. 2012. "CommunityGraphPlot." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/CommunityGraphPlot.html.

APA

Wolfram Language. (2012). CommunityGraphPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/CommunityGraphPlot.html

BibTeX

@misc{reference.wolfram_2025_communitygraphplot, author="Wolfram Research", title="{CommunityGraphPlot}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/CommunityGraphPlot.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_communitygraphplot, organization={Wolfram Research}, title={CommunityGraphPlot}, year={2012}, url={https://reference.wolfram.com/language/ref/CommunityGraphPlot.html}, note=[Accessed: 01-December-2025]}

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