Bootstrapping Topological Properties and Systemic Risk of Complex Networks Using the Fitness Model

We present a novel method to reconstruct global topological properties of a complex network from limited information. We assume to know for all nodes a non-topological quantity, called fitness correlated to the degree, and the degree only for a subset of the nodes.We then use a fitness model, calibrated on the subset of nodes for which degrees are known, in order to generate ensembles of networks to estimate properties of the original sample. We focus on global topological properties that are relevant for processes of contagion and distress propagation in networks: network density and k-core structure. .... ...