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VertexCoordinates

is an option to Graph and related functions that specifies the coordinates to use to place the center of vertices.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Applications  
Properties & Relations  
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VertexCoordinates

VertexCoordinates

is an option to Graph and related functions that specifies the coordinates to use to place the center of vertices.

Details

  • The following settings for VertexCoordinates can be used:
  • Automaticautomatically compute vertex coordinates
    {v1pt1,…}place vertex vi at center coordinate pti
    {pt1,pt2,…}place vertex v1 at pt1 etc.
  • With the setting VertexCoordinates->Automatic, the center coordinates for vertices are computed according to the setting for GraphLayout.
  • With the setting VertexCoordinates->{pt1,pt2,…}, the vertices {v1,v2,…} are given in the order returned by VertexList.

Examples

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Basic Examples  (3)

By default, any vertex coordinates are computed automatically:

Specify all vertex coordinates:

In this case, put them on a parabola:

Specify coordinates for some vertices:

Scope  (5)

VertexCoordinates can be used for general graphs:

Matrix graphs:

Special graphs:

Specify coordinates for some vertices:

Constraint coordinates:

Specify 3D coordinates for some vertices:

VertexCoordinates has higher priority than GraphLayout:

Applications  (6)

Use an automatic layout of a molecule:

Also specify the vertex coordinates:

Automatically draw a graph from its adjacency matrix:

Use specific embedding by setting vertex coordinates:

Generate a circle layout:

Grid layout:

Discrete spiral layout:

Generate a path graph with a specified layout:

Highlight the vertices on the inner circle:

Properties & Relations  (1)

All vertex coordinates in a list follow the order given by VertexList:

Wolfram Research (2010), VertexCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexCoordinates.html (updated 2020).

Text

Wolfram Research (2010), VertexCoordinates, Wolfram Language function, https://reference.wolfram.com/language/ref/VertexCoordinates.html (updated 2020).

CMS

Wolfram Language. 2010. "VertexCoordinates." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/VertexCoordinates.html.

APA

Wolfram Language. (2010). VertexCoordinates. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VertexCoordinates.html

BibTeX

@misc{reference.wolfram_2025_vertexcoordinates, author="Wolfram Research", title="{VertexCoordinates}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VertexCoordinates.html}", note=[Accessed: 13-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_vertexcoordinates, organization={Wolfram Research}, title={VertexCoordinates}, year={2020}, url={https://reference.wolfram.com/language/ref/VertexCoordinates.html}, note=[Accessed: 13-August-2025]}