Random directed graph distributions and the triad census in social networks†
- 1 January 1977
- journal article
- research article
- Published by Taylor & Francis in The Journal of Mathematical Sociology
- Vol. 5 (1) , 61-86
- https://doi.org/10.1080/0022250x.1977.9989865
Abstract
This paper uses the concept of the triad census as, developed 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.Keywords
All Related Versions
This publication has 5 references indexed in Scilit:
- Developmental Change in the Sentiment Structure of Children's GroupsAmerican Sociological Review, 1972
- Transitivity in Structural Models of Small GroupsComparative Group Studies, 1971
- A Method for Detecting Structure in Sociometric DataAmerican Journal of Sociology, 1970
- Clustering and Hierarchy in Interpersonal Relations: Testing Two Graph Theoretical Models on 742 SociomatricesAmerican Sociological Review, 1970
- An Educational Application of a Two-Dimensional Sociometric TestSociometry, 1948