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"LayeredEmbedding" (Graph Layout Method)

  • Vertex layout for GraphLayout.
  • Use layered embedding to lay out vertices of a graph.

Details & Suboptions

  • The layered digraph embedding is a graph-drawing technique to position vertices of a graph on parallel lines.
  • The layered embedding is typically used to lay out acyclic graphs.
  • Possible settings to control the layout include:
  • "LayerSizeFunction" Automaticrelative height function
    "LeafDistance" Automaticleaf distance
    "Orientation" Automaticlayout orientation
    "RootVertex" Automaticroot vertex
    "Rotation" Automaticlayout rotation

Examples

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Basic Examples  (3)

Place vertices in several layers in such a way as to minimize edges between nonadjacent layers:

Wolfram Language code: Graph[Table[iMod[i + 1, 5], {i, 12}], GraphLayout -> "LayeredEmbedding"]

"LayeredEmbedding" works best for tree graphs:

Wolfram Language code: TreeGraph[RandomInteger[{1, #}]  # + 1 & /@ Range[20], GraphLayout -> "LayeredEmbedding"]

The layered drawing works on arbitrary graphs:

Wolfram Language code: RandomGraph[{20, 30}, GraphLayout -> "LayeredEmbedding"]

Options  (5)

"LayerSizeFunction"  (1)

Use the option "LayerSizeFunction"func to specify the relative height:

Wolfram Language code: KaryTree[10, 3, GraphLayout -> {"LayeredEmbedding", LayerSizeFunction -> (2&)}]

"LeafDistance"  (1)

Use the option "LeafDistance"d to specify the leaf distance:

Wolfram Language code: {KaryTree[10, 3, GraphLayout -> {"LayeredEmbedding", "LeafDistance" -> 1}], KaryTree[10, 3, GraphLayout -> {"LayeredEmbedding", "LeafDistance" -> 2}]}

"Orientation"  (1)

Use the option "Orientation"o to draw a tree with different orientations:

Wolfram Language code: Table[KaryTree[6, 3, GraphLayout -> {"LayeredEmbedding", "Orientation" -> o}], {o, {Top, Bottom, Left, Right}}]

"RootVertex"  (1)

Use the option "RootVertex"v to set the root vertex:

Wolfram Language code: {KaryTree[10, 3, GraphLayout -> {"LayeredEmbedding", "RootVertex" -> 1}], KaryTree[10, 3, GraphLayout -> {"LayeredEmbedding", "RootVertex" -> 4}]}

"Rotation"  (1)

Use "Rotation"r to rotate the layout:

Wolfram Language code: KaryTree[10, 3, GraphLayout -> {"LayeredEmbedding", "Rotation" -> 45 Degree}]