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"SymmetricLayeredEmbedding" (Graph Layout Method)

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

Details & Suboptions

  • The symmetric layered embedding is a graph-drawing technique to position vertices of a graph on symmetric parallel lines.
  • The symmetric layered embedding is typically used to lay out directed acyclic graphs.
  • Possible settings to control the layout include:
  • "Rotation" Automaticlayout rotation

Examples

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Basic Examples  (3)

Place vertices in a series of layers symmetrically:

Wolfram Language code: Graph[{58, 59, 69, 35, 36, 13, 48, 24, 25, 12}, GraphLayout -> "SymmetricLayeredEmbedding"]

"SymmetricLayeredEmbedding" works best for directed acyclic graphs:

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

The symmetric layered drawing works on arbitrary graphs:

Wolfram Language code: RandomGraph[{20, 35}, GraphLayout -> "SymmetricLayeredEmbedding"]

Options  (1)

"Rotation"  (1)

Use the option "Rotation"r to rotate the layout:

Wolfram Language code: Table[KaryTree[7, GraphLayout -> {"SymmetricLayeredEmbedding", "Rotation" -> o}], {o, {0, 30, 60, 90}}]

Applications  (1)

Render a graph with vertices at heights based on their distance from the root:

Wolfram Language code: g = GridGraph[{4, 4}, DirectedEdges -> True];
Wolfram Language code: Annotate[g, GraphLayout -> {"SymmetricLayeredEmbedding"}]