63.52 UnderlyingGraph

UnderlyingGraph( gamma )

This function returns the underlying graph delta of gamma. The graph delta has the same vertex set as gamma, and has an edge [x,y] precisely when gamma has an edge [x,y] or an edge [y,x]. This function also sets the isSimple components of gamma and delta.

    gap> gamma := EdgeOrbitsGraph( Group((1,2,3,4)), [1,2] );
    rec(
      isGraph := true,
      order := 4,
      group := Group( (1,2,3,4) ),
      schreierVector := [ -1, 1, 1, 1 ],
      adjacencies := [ [ 2 ] ],
      representatives := [ 1 ],
      isSimple := false )
    gap> UnderlyingGraph(gamma);
    rec(
      isGraph := true,
      order := 4,
      group := Group( (1,2,3,4) ),
      schreierVector := [ -1, 1, 1, 1 ],
      adjacencies := [ [ 2, 4 ] ],
      representatives := [ 1 ],
      isSimple := true ) 

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