63.49 ComplementGraph

ComplementGraph( gamma )
ComplementGraph( gamma, comploops )

This function returns the complement of the graph gamma. The optional boolean parameter comploops determines whether or not loops/nonloops are complemented (default: false (loops/nonloops are not complemented)).

    gap> ComplementGraph( NullGraph(SymmetricGroup(3)) );
    rec(
      isGraph := true,
      order := 3,
      group := Group( (1,3), (2,3) ),
      schreierVector := [ -1, 2, 1 ],
      adjacencies := [ [ 2, 3 ] ],
      representatives := [ 1 ],
      isSimple := true )
    gap> IsLoopy(last);
    false
    gap> IsLoopy(ComplementGraph(NullGraph(SymmetricGroup(3)),true));
    true 

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