Measuring the flow of information among cities using the diffusion power

In this Letter, we define here the so-called diffusion power – an extension of the dominance power, which considers the interaction between neighbors of higher orders. Using this measure, we analyze the centrality of cities in two networks of the flow of information among these cities, namely a network of calls among the cities and a network of radio stations. Finally, we explain the centralities of the cities evaluated using the diffusion power in terms of the specific characteristics of the cities that belong to the network.