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Graph Automorphism Group


The graph automorphism group of a graph G, denoted Aut(G), is the group formed by the graph automorphisms of G under composition. It is a permutation group acting on the vertex set of G and describes the symmetries of the graph.

The graph automorphism group of G may be computed in the Wolfram Language using GraphAutomorphismGroup[g].


See also

Automorphism Group, Graph Automorphism, Permutation Group

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Cite this as:

Weisstein, Eric W. "Graph Automorphism Group." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GraphAutomorphismGroup.html

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