Figure 3

Two random regular (RR) networks with P
A
(k) = P
B
(k) = δ
k,5 and P
sA
(k) = P
sB
(k) = δ
k,5 and system size N = 105 for different values of required supplies, \({k}_{sX}^{\ast }\) = 1 (○), \({k}_{sX}^{\ast }\) = 2 (), \({k}_{sX}^{\ast }\) = 3 (
), \({k}_{sX}^{\ast }\) = 4 (
), as a function of the initial fraction of survived nodes p. Also shown two RR networks with P
A
(k) = P
B
(k) = δ
k,5, but P
sA
(k) = P
sB
(k) = δ
k,1, \({k}_{sX}^{\ast }\) = 1 (
). The symbols are the results of the stochastic simulations and the lines are the iterated values obtained by equations (3–5). The dashed-dotted lines represent only the theoretical results since they have been obtained in Ref.11. In panels (a) and (b) we show the order parameter of network A and B, μ
A
and μ
B
, respectively for the giant component rule.