GraphEmbedding—Wolfram Language Documentation (original) (raw)

BUILT-IN SYMBOL

• See Also
  • VertexCoordinates
  • GraphLayout
  • LayeredGraphPlot
  • TreePlot
  • GraphPlot
  • GraphPlot3D
  • CommunityGraphPlot
  • LayeredGraphPlot3D
• Related Guides
  • Graph Visualization
  • Graph Layouts

GraphEmbedding

GraphEmbedding[g,"emb"]

gives coordinates of the vertices of the graph g using the embedding "emb".

GraphEmbedding[g,"emb",dim]

gives coordinates in dimension dim of the vertices of the graph g using the embedding "emb".

Details

• The settings for the embedding "emb" are the same as in GraphLayout.

Examples

open allclose all

Basic Examples (2)

Get the coordinates of the vertices of a graph:

Obtain coordinates in two dimensions and three dimensions for spring embedding:

Scope (23)

GraphEmbedding works with undirected graphs:

Directed graphs:

Multigraphs:

Mixed graphs:

Get the coordinates of vertices using the "BalloonEmbedding":

"BipartiteEmbedding":

"CircularEmbedding":

"CircularMultipartiteEmbedding":

"DiscreteSpiralEmbedding":

"GridEmbedding":

"HighDimensionalEmbedding":

"LayeredEmbedding":

"LinearEmbedding":

"MultipartiteEmbedding":

"PlanarEmbedding":

"RadialEmbedding":

"RandomEmbedding":

"SpectralEmbedding":

"SpiralEmbedding":

"SpringElectricalEmbedding":

"SpringEmbedding":

"StarEmbedding":

Get the coordinates of vertices in higher dimensions:

Applications (3)

Visualize isomorphisms between two graphs:

Reorder coordinates based on the isomorphism:

Show a transformation of one graph to another one:

Generate a 3D plot of a graph:

Plot the graph using graphics primitives:

Highlight cliques and subgraphs:

Modify coordinates of the clique:

Show the graph and the highlighted clique:

Properties & Relations (2)

Obtain vertex placement of graph layout:

Plot the graph using graphics primitives:

Use the option VertexCoordinates to get vertex coordinates:

Equivalent:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2025_graphembedding, author="Wolfram Research", title="{GraphEmbedding}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/GraphEmbedding.html}", note=[Accessed: 30-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_graphembedding, organization={Wolfram Research}, title={GraphEmbedding}, year={2012}, url={https://reference.wolfram.com/language/ref/GraphEmbedding.html}, note=[Accessed: 30-April-2025 ]}