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HypergraphAutomorphismGroup.md

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Symbols and Functions > Utility Functions >

HypergraphAutomorphismGroup

HypergraphAutomorphismGroup does the same thing as GraphAutomorphismGroup, but for ordered hypergraphs:

In[] := HypergraphAutomorphismGroup[{{1, 2, 3}, {1, 2, 4}}]
Out[] = PermutationGroup[{Cycles[{{3, 4}}]}]

A more complicated example:

In[] := GroupOrder[
 HypergraphAutomorphismGroup[
  EchoFunction[
    HypergraphPlot] @ {{1, 2, 3}, {3, 4, 5}, {5, 6, 1}, {1, 7, 3}, {3,
      8, 5}, {5, 9, 1}}]]

Out[] = 24