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

Authors:
Matthew O. Jackson
Affiliations:
Department of Economics, Stanford University and the Santa Fe Institute,
Venue:
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
Year:
2008

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Abstract

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