Figure 4

Order parameters for the “mass rule”, for a system of networks with internal distribution P
A
(k) = P
B
(k) = δ
k,5, supply distributions P
sA
(k) = P
sB
(k) = δ
k,2 and thresholds k
A
* = k
B
* = 1. All the components of size h = 1 are deleted (q(1) = 1), and all the components of size h ≥ 3 are preserved (q(3) = q(4) = ... = q(h
max
) = 0 where h
max
is the maximum value of h). The curves represent the case q(2) = 0.3 (●, ), for which there is a continuous transition, and q(2) = 0.85 (
,
), which leads to an abrupt breakdown of the order parameter. The dashed lines represent the theoretical results and the symbols the stochastic simulations. (a) Network A, (b) Network B.