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IndexHypergraph replaces the vertices of the hypergraph by its vertex indices:
In[]:= IndexHypergraph[{{x, y, z}, {w, y}, {z, {x}, {{y}}}}]
Out[]= {{2, 3, 4}, {1, 3}, {4, 5, 6}}Replace the vertices with integers starting from -10:
In[]:= IndexHypergraph[{{x, y, z}, {w, y}, {z, {x}, {{y}}}}, -10]
Out[]= {{-9, -8, -7}, {-10, -8}, {-7, -6, -5}}