One can use
subgraph I_nm and
subgraph C_n, is there a complete list? In particular I'm looking for a linear subgraph, but a complete list would be extremely helpful.
I just found this in the documentation:
The library graphs.standard defines a number of such graphs, including the complete clique Kn on n nodes, the complete bipartite graph Kn,m with shores sized n and m, the cycle Cn on n nodes, the path Pn on n nodes, and the independent set In on n nodes.
Which does not appear to be a complete list, but maybe it is!