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Table 1 Times (in years) of the diffusion peak in the Bass diffusion model on networks for eight different scale-free networks with exponent γ=3, for three different values of the imitation coefficient q

From: The configuration model for Barabasi-Albert networks

  Diffusion times
network q=0.30 q=0.38 q=0.48
BA1 4.84 4.22 3.64
BA2 5.20 4.54 3.94
BA3 5.40 4.74 4.10
UNC 5.50 4.84 4.20
BA4 5.54 4.86 4.22
BA5 5.66 4.96 4.32
DIS 5.76 5.06 4.40
ASS 6.00 5.50 4.98
  1. All networks have maximum degree n=100 (N104). Those here considered are BA networks with values of β equal to 1,2,3,4,5 (resp. denoted BA1, BA2, BA3, BA4, BA5), uncorrelated networks (UNC), disassortative and assortative networks (resp., DIS and ASS). The values of the q coefficient here considered, 0.30, 0.38, 0.48, belong to a range of typical realistic values in innovation diffusion theory (Jiang et al. 2006) and the publicity coefficient is set to the value p=0.03, which is another realistic value (Jiang et al. 2006). The assortativity coefficients of the BA networks are respectively r=−0.104,−0.089,−0.078,−0.071,−0.065. The disassortative network is built with the Newman recipe (Newman 2003; Bertotti and Modanese 2019) with d=4 and has r=−0.084. The assortative network is built with our recipe (Bertotti et al. 2016; Bertotti and Modanese 2019) with α=1/2, and has r=0.863