WOLFRAM

Wolfram Language & System Documentation Center

"HighDimensionalEmbedding" (Graph Layout Method)

  • Vertex layout for GraphLayout.
  • Use high-dimensional embedding to lay out vertices of a graph.

Details & Options

  • The high-dimensional embedding is a graph-drawing technique to position vertices of a graph in a high-dimensional space, and then project back to two- or three-dimensional space.
  • The high-dimensional embedding is typically used for fast layout of graphs.
  • Vertices can be embedded in or .
  • Possible settings to control the energy minimization process include:
  • "RandomSeed" Automaticseed for the random generator for initial vertex placement
    "Rotation" Automaticlayout rotation

Examples

open all close all

Basic Examples  (2)

Lay out a graph:

Wolfram Language code: Graph[{12, 13, 15, 19, 24, 26, 210, 34, 37, 311, 48, 412, 56, 57, 513, 68, 614, 78, 715, 816, 910, 911, 913, 1012, 1014, 1112, 1115, 1216, 1314, 1315, 1416, 1516}, GraphLayout -> "HighDimensionalEmbedding"]

"HighDimensionalEmbedding" works best for most graphs:

Wolfram Language code: GridGraph[{10, 10}, GraphLayout -> "HighDimensionalEmbedding"]

Options  (2)

"RandomSeed"  (1)

Use "RandomSeed"int to specify a seed for the random number generator that computes the initial vertex placement:

Wolfram Language code: Graph[{13, 15, 17, 23, 26, 27, 28, 34, 38, 46, 58, 78}, GraphLayout -> {"HighDimensionalEmbedding", "RandomSeed" -> #}]& /@ {1, 50}

"Rotation"  (1)

Use "Rotation"r to rotate the layout:

Wolfram Language code: Graph[{13, 15, 17, 23, 26, 27, 28, 34, 38, 46, 58, 78}, GraphLayout -> {"HighDimensionalEmbedding", "Rotation" -> 45 Degree}]