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Fig. 3 | Applied Network Science

Fig. 3

From: Classes of random walks on temporal networks with competing timescales

Fig. 3

Mean resting times with respect to model 6. Going from model (1) to (4) to (5) to (6), the mean resting time is increasing - all dynamical and topological parameters being equally chosen, and diffusion on, say, a tree topology would be slower. Ratios R1 and R2 of Eqs. 33 and (34) allow to compare the former three models with two timescales (corresponding to μ and λ=η), for which there is walker-edges interaction. It measures the reduction in mean resting times of walks (Mod. 4) and (Mod. 5) with respect to the additive model 6. Observe that only the degree and \(\xi = \frac \lambda \mu \) determine these comparisons. That Ri(kj,ξ)=1 for i=1,2 and R2(kj,0)=1 is explained by the asymptotic behaviour described in Fig. 4. Also observe the different ranges of values for R1 and R2. The smallest value of R2 is above \(\frac {3}{4}\), when kj, whereas R1 approaches zero

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