lm is correct. the router is the connection point for all the PCs, both in terms of connectivity (wired or wireless), traffic routing, and services (DHCP, firewall).
In what sense do you think your, or any, PC is a "central hub"?
If the network is setup so that turning off one PC off disables the other PCs, something is terribly wrong.
A huge mistake made by many home users with wireless routers is to run the router with no access security, so the neighbors can steal access to Internet through your wireless router. And if you're depending on the firewall in the router to protect your PCs (bad practice), then your neighbors' pimply kids can attack your PCs directly.