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I know of two methods to produce a fixed vertex size. Scaled Use Scaled for VertexSize and set AspectRatio -> 1: options = Sequence[VertexStyle -> Black, VertexLabels -> Placed["Name", {Center, Center}], VertexLabelStyle -> Directive[16, White], GraphLayout -> "CircularEmbedding", EdgeShapeFunction -> ef2, ImageSize -> 400, ...

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