Figure 3
From: Router-level community structure of the Internet Autonomous Systems
Correlation between the AS size and resolution in Deltacom and CPM, and evolution of Q in Deltacom. The left picture plots the correlation between the AS size (in terms of the amount of routers) and the resolution t at which it is best detected by Multiresolution Deltacom. The correlation coefficient between size and resolution in the log-scale is −0.93. A linear regression model between them gives the line \(y=4.09-0.60x\) shown in blue, with a determination of \(r^{2}=0.87\). The central picture does the same for the best resolution γ in the Constant Potts Model (CPM), with a correlation of −0.65. On the right picture, the evolution of classical modularity (\(Q_{1}\)) as a function of t during the agglomerative process of Deltacom.