People have tackled this stuff for millennia. By all means focus on the emergent structures, as that's the only way to learn about that structure. If you only study the modern proxies for these structures ("network theory") you miss out on great stuff.
An Aesop's Fable from 2000+ years ago about influence in a network:
"A trumpeter being taken prisoner in a battle, begged hard for quarter. "Spare me, good sirs, I beseech you," said he, "and put me not to death without cause, for I have killed no one myself, nor have I any arms but this trumpet only." "For that very reason," said they who had seized him, "shall you the sooner die, for without the spirit to fight, yourself, you stir up others to warfare and bloodshed."
He who incites strife is worse than he who takes part in it."