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The directed network of initial contacts was used as the starting point for our PageRank-based measure of desirability. In this calculation, network nodes were first numbered, in arbitrary order, from 1 to n, where n is the total number of nodes in the network, and then we assigned each node i (that is, each person) a positive desirability score xi. Then, one substitutes these into the equation again to calculate another new set and repeats the process until the values converge within a desired accuracy.