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Having a hard time classifying to which science this research belongs. On one hand it deals with graphs so it must be math. On the other hand, you have people, interpersonal relations with all the baggage of ambiguities - so is this sociology?
i never understand these kind of questions. why do you need to general taxonomy once you know the specifics?
Interdisciplinary. It's an application of mathematics to other fields. Which may, in turn, feed back into mathematics as new concepts and structures are revealed.
I see this is the perfect example of the cross disciplinary nature of data science.

I do graph work, and I find myself regularly reading papers in math, epidemiology, computational social science and natural language processing. Often the problems are almost exactly the same, and approaches are very similar.