Figure 3
The relative difference of the outbreak size Δr as a function of the fraction of initial spreaders \(f_{0}\). The Degree (a), Betweenness (b), Closeness (c) and Eigenvector (d) centrality measures derived from the Modular centrality are compared to the standard counterpart designed for networks with no community structure. Real-world networks with strong community structure (ego-Facebook, Power-Grid and ca-GrQc networks) are used. The estimated values of their mixing coefficient is equal respectively to 0.03, 0.034 and 0.095