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"CircularEmbedding" (Graph Layout Method)

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

Details & Suboptions

  • The circular embedding is a graph drawing technique to position vertices of a graph on a circle.
  • The circular embedding is typically used to lay out circle graphs.
  • Possible settings to control the layout include:
  • "Offset" Automaticoffset angle
    "OptimalOrder" Trueoptimal vertex ordering to minimize edge crossings
    "Rotation" Automaticlayout rotation

Examples

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Basic Examples  (1)

Place vertices on a circle:

Wolfram Language code: CompleteGraph[7, GraphLayout -> "CircularEmbedding"]

Options  (3)

"Offset"  (1)

Use the option "Offset"->offset to specify the offset angles:

Wolfram Language code: CompleteGraph[7, GraphLayout -> {"CircularEmbedding", "Offset" -> #}]& /@ {Automatic, {30 Degree, 30 Degree}, {50 Degree, 80 Degree}}

"OptimalOrder"  (1)

With the setting "OptimalOrder"->True, vertices are reordered so that they lie nicely on a circle:

Wolfram Language code: edges = RandomSample[EdgeList[CycleGraph[20]], 20]; {Graph[edges, GraphLayout -> {"CircularEmbedding", "OptimalOrder" -> True}], Graph[edges, GraphLayout -> {"CircularEmbedding", "OptimalOrder" -> False}]}

"Rotation"  (1)

Use "Rotation"r to rotate the layout:

Wolfram Language code: CompleteGraph[7, GraphLayout -> {"CircularEmbedding", "Rotation" -> 90 Degree}]