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.

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    $\begingroup$ Maybe I am a bit "not in the topic", but I would add a bit more information to this question. Right now, it's a bit too specialized and filled with very domain-specific terms. $\endgroup$ – Anton Menshov Jun 5 '19 at 15:43

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