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Triad Census×Structural Balance Theory×
AlanSociologySociology
AileProcess / pipelineProcess / pipeline
Köken yılı19701946 (Heider); 1956 (Cartwright & Harary)
KökenPaul Holland & Samuel LeinhardtFritz Heider; formalized by Dorwin Cartwright & Frank Harary
TürEnumeration of the 16 isomorphism classes of directed triadsTheory and graph-theoretic test for tension in signed relationships
Seminal kaynakHolland, 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 ↗
Diğer adlartriad count, triadic census, 16-type triad census, MAN triad censusbalance theory, Heider balance, signed network balance, structural balance analysis
İlişkili45
ÖzetThe 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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