Scale-free networks
Quoted from wikipedia http://en.wikipedia.org/wiki/Scale-free_networks
"A scale-free network is a network whose degree distribution follows a power law, at least asymptotically. That is, the fraction P(k) of nodes in the network having k connections to other nodes goes for large values of k as"
Sometimes Wikipedia:Preferential_attachment is a factor in scale-free networks.
As a "p2p metric", the method for analyzing network and determining if it is "scale free" creates a data profile about the network that informs about the nature of the network.