Figure 3
From: Scaling in complex systems: a link between the dynamics of networks and growing interfaces
Log-Log representation of the variance of the node degrees W as a function of the network size n of the visibility graph corresponding to interfaces at time t = 5000.
At this time, the interfaces of all the processes, except RD, are already saturated and, therefore, the slope at the origin determines the scaling exponent a. According with the classical scaling theory of growing interfaces KPZ and Eden belong to the same universality class defined by the roughness exponent α = 0.5. On the contrary, the value of the exponent a for Eden and KPZ differs appreciably, aKPZ ≈ 0.48 and aEden ≈ 0.33. The exponent for RD is aRD ≈ 0.14 which contrasts with the corresponding roughness exponent equal to 0. The value of the MBE exponent is aMBE ≈ 0.47. The results are obtained after averaging over 10 realizations.
