The Wolfram Language includes a wide range of graph layouts.

Graph — automatic visualization for graph objects

Graph3D  ▪  GraphPlot  ▪  GraphPlot3D  ▪  GraphEmbedding

Special Layouts

"BipartiteEmbedding" — vertices on two parallel lines

"CircularEmbedding" — vertices on a circle

"CircularMultipartiteEmbedding" — vertices on segments of a circle

"DiscreteSpiralEmbedding" — vertices on a discrete spiral

"GridEmbedding" — vertices on a grid

"LinearEmbedding" — vertices on a line

"MultipartiteEmbedding" — vertices on several parallel lines

"SpiralEmbedding" — vertices on a 3D spiral projected to 2D

"StarEmbedding" — vertices on a circle with a center

Structured Layouts

"BalloonEmbedding" — vertices on a circle with center at parent vertex

"RadialEmbedding" — vertices on a circular segment

"LayeredDigraphEmbedding" — vertices on parallel lines for directed acyclic graphs

"LayeredEmbedding" — vertices on parallel lines

Optimizing Layouts

"GravityEmbedding" — energy with vertices as mass points and edges as springs

"HighDimensionalEmbedding" — energy for spring–electrical in high dimension

"PlanarEmbedding" — number of edge crossings

"SpectralEmbedding" — weighted sum of squares distances

"SphericalEmbedding" — energy with vertices on a sphere and edges as springs

"SpringElectricalEmbedding" — energy with edges as springs and vertices as charges

"SpringEmbedding" — energy with edges as springs

"TutteEmbedding" — number of edge crossings and distance to neighbors