Entropy parameter (dashed lines, (1-S)) and specific heat (solid lines, C) versus the temporal resolution parameter of the network, τ for RTs. The grey area represents the region where we perform the coarse graining to define the Kadanoff supernodes. Even though coarse graining can in principle be performed for arbitrary values of τ (see the main text), this area, corresponding to the first meaningful entropy transition marked by a change of slope of the specific heat, permits us to integrate the microscopic structure of the network where diffusion is fast by drawing the skeleton of heterogeneous substructures determining the communication organization of the network at larger scales 26. Black dashed lines denote the expected analytical specific-heat constant values for both networks (evidencing scale-invariant properties, see Methods). Curves have been averaged over 10 2 realizations.
