CayleyGraph

CayleyGraph[group]
returns a Cayley graph representation of group.

Details and OptionsDetails and Options

  • CayleyGraph[group] returns a graph object with head Graph.
  • A Cayley graph is both a description of a group and of the generators used to describe that group. The generators are those returned by the function GroupGenerators.
  • Group elements are represented as vertices, and generators are represented as directed edges. An edge from a group element to an element means that the product of with the generator of the edge gives .
  • Vertices are numbered as ordered by GroupElements and GroupElementPosition. The identity element is always numbered 1.
  • Generators are represented by default using different colors, with increasing Hue values for the elements listed by GroupGenerators.

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

This is the Cayley graph connecting the 24 elements of a permutation group defined by two generators, the first represented in red and the second in blue:

In[1]:=
Click for copyable input
Out[1]=
New in 8
New to Mathematica? Find your learning path »
Have a question? Ask support »