Comparison of nonlinear with linear Barabási-Albert networks

Abstract The nonlinear Barabasi–Albert network (NLBA) of Krapivsky, Redner and Leyvraz (2000) is reinvestigated and modified here. We check the distribution of k ( i ) versus i for strong peaks and sharp gaps, where node number i has k ( i ) neighbors. No gaps as seen in our earlier studies of directed networks are found now, but strong peaks occur in our modified version nonlinear Barabasi–Albert networks (NLBA2) while they show up only if the nonlinearity exponent is larger than one in the traditional version (NLBA1).