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But why call it graph? Seems like other words would work better. Not criticizing... I've heard it before... It just raises the question

it's the "technical term" from discrete math or topology.

you're right though, could swap in "network" and it would maybe be clearer. but the term "network" is a bit overloaded in people's minds, too.

Oh, the graph is a set of users? I guess that makes more sense now. I was thinking of it as one user.