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Triad Census×Structural Balance Theory×
क्षेत्रSociologySociology
परिवारProcess / pipelineProcess / pipeline
उद्भव वर्ष19701946 (Heider); 1956 (Cartwright & Harary)
प्रवर्तकPaul Holland & Samuel LeinhardtFritz Heider; formalized by Dorwin Cartwright & Frank Harary
प्रकारEnumeration of the 16 isomorphism classes of directed triadsTheory and graph-theoretic test for tension in signed relationships
मौलिक स्रोतHolland, P. W., & Leinhardt, S. (1970). A method for detecting structure in sociometric data. American Journal of Sociology, 76(3), 492–513. DOI ↗Cartwright, D., & Harary, F. (1956). Structural balance: a generalization of Heider's theory. Psychological Review, 63(5), 277–293. DOI ↗
उपनामtriad count, triadic census, 16-type triad census, MAN triad censusbalance theory, Heider balance, signed network balance, structural balance analysis
संबंधित45
सारांशThe 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.Structural balance theory analyzes networks whose ties carry a sign — positive for liking, alliance, or trust, negative for hostility or distrust — and asks which configurations are psychologically and socially stable. Originating in Fritz Heider's cognitive balance principle and given a graph-theoretic form by Dorwin Cartwright and Frank Harary in 1956, it predicts that signed networks evolve toward states free of the tension produced by inconsistent triads such as 'the friend of my enemy'.
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