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I examine a random network model where nodes are categorized by type andlinking probabilities can differ across types. I show that as homophilyincreases (so that the probability to link to other nodes of the same typeincreases and the probability of linking to nodes of some other typesdecreases) the average distance and diameter of the network are unchanged,while the average clustering in the network increases.

Average Distance, Diameter, and Clustering in Social Networks with Homophily