What is the most unambiguous digraph representation of NAND/NOR?
Solution 1:
What you are trying to construct for the NAND/NOR operators is a state diagram, specifically one for a Moore machine. However, for all but the simplest machines, it is impossible to avoid specifying states or inputs. It was made possible for the NOT operator because its a unary operator, and thus the state and input coincide. Your first graph is ideal enough.