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Questions about the program Nauty (No AUTomorphisms, Yes?) used for studying isomorphisms of graphs.

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Generate all non-isomorphic partitions $\pi = \{ \{1, ..., n-1\}, \{n\} \}$ for all graphs o...

black vertex to the second cluster $C_2$ However, the following graph 4 is isomorphic to graph 3, Any idea how I can approach that problem in a computationally efficient way by e.g. using geng from nauty