# 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:
•  Automatic automatically compute vertex coordinates {v1pt1,…} place vertex vi at center coordinate pti {pt1,pt2,…} place vertex v1 at pt1 etc.
• With the setting , 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_2024_vertexcoordinates, author="Wolfram Research", title="{VertexCoordinates}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VertexCoordinates.html}", note=[Accessed: 12-September-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_vertexcoordinates, organization={Wolfram Research}, title={VertexCoordinates}, year={2020}, url={https://reference.wolfram.com/language/ref/VertexCoordinates.html}, note=[Accessed: 12-September-2024 ]}