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A graph‐theoretic definition of a sociometric clique†
Abstract
The intent of this paper is to provide a definition of a socioraetric clique in the language of graph theory. This problem is viewed from two perspectives: maintaining fidelity to the intuitive notion of a clique; and providing adequate computational mechanics for large bodies of data. Luce's (1950) concept of an n‐clique is used, but further qualifications are added. Two statistics or measures with associated probability distributions are defined for testing the adequacy of a subgraph which qualifies according to the definition.
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Citations
Cited by
Fortunato, S. (2010) · Physics Reports · doi:10.1016/j.physrep.2009.11.002 · Cited by 11,293
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White, H. C., Boorman, S. A., & Breiger, R. L. (1976) · American Journal of Sociology · doi:10.1086/226141 · Cited by 2,097
Community detection in networks: a user guide
Fortunato, S., & Hric, D. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.09.002 · Cited by 2,086
Network structure and minimum degree
Seidman, S. B. (1983) · Social Networks · doi:10.1016/0378-8733(83)90028-x · Cited by 1,891
The micro-determinants of meso-level learning and innovation: evidence from a Chilean wine cluster
Giuliani, E., & Bell, M. (2005) · Research Policy · doi:10.1016/j.respol.2004.10.008 · Cited by 1,200
Metadata
- Authors
- Alba, R. D.
- Venue
- The Journal of Mathematical Sociology
- Publisher
- Informa UK Limited
- Published
- 1973-07
- Volume
- 3
- Issue
- 1
- Pages
- 113-126
- ISSN
- 0022-250X (ISSN-L)
- 1545-5874
- OpenAlex
- W1987173300
- Cited by
- 497
- References
- 0
- FWCI
- 4.91
- Type
- journal article
- Language
- en
- Open access
- closed
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- Alba, R. D. (1973). A graph‐theoretic definition of a sociometric clique†. The Journal of Mathematical Sociology. https://doi.org/10.1080/0022250x.1973.9989826
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.