WOLFRAM

Wolfram Language & System Documentation Center

"GravityEmbedding" (Graph Layout Method)

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

Details & Suboptions

  • The gravity embedding is a graph-drawing technique to position vertices of a graph so that they minimize mechanical, electrical and gravitational energy when each vertex has a charge and a mass and each edge corresponds to a spring.
  • The gravity embedding is typically used to lay out large, complex graphs with a root vertex.
  • Vertices can be embedded in .
  • The following model parameters can be given:
  • "RepulsiveForcePower"repulsive force constant
    "SpringConstant"spring constant
  • The following graph parameters can be given:
  • "RootVertex" root vertex
  • Possible settings to control the energy minimization process include:
  • "EnergyControl"how the energy function is controlled during minimization
    "InferentialDistance"cutoff distance for inference from faraway vertices
    "MaxIterations"maximum number of iterations
    "RandomSeed"seed for the random generator for initial vertex placement
    "StepControl"how step lengths are modified during energy minimization
    "StepLength"initial step length used in moving the vertices
    "Tolerance"tolerance used in terminating the process
  • Possible settings to control the layout include:
  • "Rotation"Automaticlayout rotation

Examples

open all close all

Basic Examples  (1)

Place vertices using the gravity embedding:

Options  (9)

"RootVertex"  (1)

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

"EnergyControl"  (1)

Use the option "EnergyControl"e to specify limitations on the total energy of the system during minimization:

"InferentialDistance"  (1)

Use "InferentialDistance"d to specify a cutoff distance beyond which the interaction between vertices is assumed to be nonexistent:

"MaxIteration"  (1)

Use "MaxIteration"it to specify a maximum number of iterations to be used in attempting to minimize the energy:

"RandomSeed"  (1)

Use "RandomSeed"int to specify a seed for the random number generator that computes the initial vertex placement:

"StepControl"  (1)

Use "StepControl"method to define how step length is modified during energy minimization:

"StepLength"  (1)

Use "StepLength"r to specify the initial step length used in moving the vertices around:

"Tolerance"  (1)

Use "Tolerance"r to specify the tolerance used in terminating the energy minimization process:

"Rotation"  (1)

Use "Rotation"r to rotate the layout: