My primary concern is about finding the percolating cluster for any given network. For a lattice it is straight forward : When the size of a cluster reaches the length of the lattice, then it is said to percolate. What is the criteria for an arbitrary network?
EDIT : For a lattice, a percolating cluster would connect two points at either ends of the lattice. Say for a 2D square lattice, to determine if a cluster is a percolating cluster we can measure the size of the cluster in both directions and see if it's length is the same as the size of lattice.
I want to know of there is any such criteria for an arbitrary network.