In[]:=
Function[r,Graph[MultiwaySystem[r,{"A"},7,#],GraphLayout"LayeredDigraphEmbedding",AspectRatio1/2]&/@{"EvolutionCausalGraphStructure","StatesGraphStructure","CausalGraphStructure"}]/@EnumerateSubstitutionSystemRules[{12,11},2]
Out[]=

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Look at causal invariant rules....