GraphAutomorphismGroup

GraphAutomorphismGroup[g]
gives the automorphism group of a graph g.

DetailsDetails

  • GraphAutomorphismGroup[g] gives a PermutationGroup that represents the group of automorphisms of the graph g.
  • The automorphism group for a graph can be used to enumerate isomorphic variants of a graph.
  • An automorphism of the graph g is a permutation of vertices of g that preserves the edge-vertex connectivity, i.e. if is an edge in g then is also an edge in g.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

Find the automorphism group of the PetersenGraph:

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The number of elements of the group:

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Introduced in 2014
(10.0)