[meheleventyone]

> I mean information channels to and from the central computer.

This makes no sense to grow exponentially then. Information channels grow exponentially in a peer-to-peer network but only linearly in a centralised one. You can trivially see this in computer networks. One server with eight clients will have 8 connections. Eight peers will have 64 connections. Adding one more node will make the centralised solution add one more connection. Adding one more node to the peer-to-peer solution adds 17.