Connecting complex networks to nonadditive entropies

Boltzmann-Gibbs statistical mechanics applies satisfactorily to a plethora of systems. It fails however for complex systems generically involving strong space-time entanglement. Its generalization based on nonadditive $q$-entropies adequately handles wide class such We show here that scale-invariant networks belong this class. numerically study $d$-dimensional geographically located network with weighted links and exhibit its 'energy' distribution per site at quasi-stationary state. Our results strongly suggest correspondence between the random geometric problem thermal problems within generalised thermostatistics. The exponential factor is substituted by $q$-generalisation, recovered in $q=1$ limit when nonlocal effects fade away. present connection should cross-fertilise experiments both research areas.