Information Spreading on Weighted Multiplex Social Network

Figure 3

Growth pattern of the final adoption size versus information transmission unit probability β on the ER-ER weighted multiplex network, under different weight distribution exponents and , given adoption thresholds (, ) and initial fraction of seeds. The final adoption size versus information transmission probability β with (a) ; ; , (b) , (c) , and (d) . The lines denoting theoretical solutions agree exceptionally well with the symbols representing numerical simulations. Moreover, in subgraphs (e), (f), (g), and (h), the relative variance χ in terms of the peaks numerically indicates the critical spreading probabilities in (a), (b), (c), and (d), respectively, showing that increasing the weight distribution exponent (decreasing weight distribution heterogeneity) can decrease the critical spreading probability. The phenomena above suggest that decreasing weight distribution heterogeneity facilitates information spreading but cannot alter the growth pattern of the final adoption size versus information transmission probability. The basic parameters are , , , and .

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)