BSeedGraph[m_,{c_}] := CallMake /; (m==c+1 && OddQ[c])
check[maxm_] := Do[
  parts=Partitions[t];
  Do[
    Do[
      cols=parts[[i]];
      g=CanonicalForm[BSeedGraph[m,cols]];
      Print[{m,cols},Head[g]],
      {i,Length[parts]}
    ],
    {t,0,m+1}
  ],
  {m,maxm}
]
