From the wikipedia article on percolation it appears that the theory is applicable to graphs in general, and this presentation describes the theory nicely. This review article on complex networks discusses how measures of percolation apply to complex networks in general but the background could be discussed in more depth for newcomers with little knowledge in physics.
I do not think that the social networks can be compared to the lattice percolation models because of their community structure.
I would like to know:
- How is percolation defined for social networks? and what is the intuitive explanation/description for it in layman's terms?
- With which methods can the percolation of a social network (graphs) be measured and what features of the network do these measurements represent?
- What are other measures for social networks conductivity that are similar to percolation?
- Are social networks 3D lattices due to the community sparsity and how is that modeled (eg. edges between lattices)?