Number of Collaborations

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According to Barabasi's Emergence of scaling in random networks if one makes a similar plot for the number of connections (or ‘‘links’’) z to or from sites on the World Wide Web, the resulting distribution closely follows a power law: , where t is a constant exponent with (in that case) a value of about 2.5. However, the author's data do not follow a power-law form perfectly. If they did, the curves in Fig. 2 would be straight lines on the logarithmic scales used. However, these data are well fitted by a power-law form with an exponential cutoff: . where and are constants.