Figure 4

Theoretical approach to path lengths. (a) We show our theory for of what fraction of nodes having an initial path length of ℓ will remain at that path length if only p fraction of links involve identifying information in the Conspiracy Network. (b) Same for the Dark Web Network. (c) We consider the case where one link along the original path fails (from \(S\to I_{1}\)), but there is a simple ‘detour’ via \(I_{2}\) leading to an increase of 1 in the path length. (d) We show our theory what fraction of nodes will be at the original path length plus one (based on the ‘detour’ suggested in c) for the Conspiracy network. (e) Same as (d) but now for the Dark Web Network