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Fig. 2.   Diamonds display log-log histograms of inbound connectivities for category-specific homepages, and inbound and outbound connectivities for random web pages. Circles mark the connectivity distributions, with m0 = 0, t set equal to the number of web pages, 2m set equal to the average number of inbound links per page, and alpha  chosen according to a nonlinear least-squares fit. Dashed lines indicate the analytic solutions (Eq. 3).