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Triad Census

The triad census counts how many of a directed network's three-actor subgroups fall into each of the 16 possible types of triad, providing a compact fingerprint of the network's local structure. Introduced by Paul Holland and Samuel Leinhardt in 1970, it is the standard way to test structural theories — balance, clustering, transitivity, ranked clusters — by comparing the observed distribution of triad types against what a random network would produce.

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Sources

  1. Holland, P. W., & Leinhardt, S. (1970). A method for detecting structure in sociometric data. American Journal of Sociology, 76(3), 492–513. DOI: 10.1086/224954
  2. Davis, J. A. (1967). Clustering and structural balance in graphs. Human Relations, 20(2), 181–187. DOI: 10.1177/001872676702000206

How to cite this page

ScholarGate. (2026, June 22). Triad Census of Directed Networks. ScholarGate. https://scholargate.app/en/sociology/triad-census

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Referenced by

ScholarGateTriad Census (Triad Census of Directed Networks). Retrieved 2026-06-24 from https://scholargate.app/en/sociology/triad-census · Dataset: https://doi.org/10.5281/zenodo.20539026