Random Directed Graph Distributions in the Triad Census in Social Networks

Stanley S. Wasserman

No 113, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: This paper uses the concept of the triad census first introduced by Holland and Leinhardt, and describes several distributions on directed graphs. Methods are presented for calculating the mean and the covariance matrix of the triad census for the uniform distribution that conditions on the number of choices made by each individual in the social network. Several complex distributions on digraphs are approximated, and an application of these methods to a sociogram is given.

Date: 1975-11
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Published as Stanley S. Wasserman, 1977. "Random directed graph distributions and the triad census in social networks†," The Journal of Mathematical Sociology, vol 5(1), pages 61-86.

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