Tunable network properties with Hamill and Gilbert’s Social Circles generator

Hamill and Gilbert (J Artif Soc Soc Simul 12, 1-23, 2009) developed the Social Circles algorithm to generate synthetic networks that have properties of real social networks such as skewed degree distribution, positive clustering coefficient, degree assortativity and short path lengths. To assess the viability of Social Circles as a general network generator, we systematically examine the relationship between algorithm parameters and a broader range of structural properties of the generated networks. We varied social reaches for agents, distribution of social reaches in the population, and node density. We find that edge density and centrality measures can be controlled in a predictable way: longer reaches are associated with denser networks, shorter paths, lower degree assortativity (with some exceptions), and smaller variation in centrality measures. However, these network properties changed together and there is limited capacity to control properties separately. Further, clustering coefficient is insensitive to algorithm inputs. Thus, it cannot be used as a general network generator as it stands. If these properties are important, Social Circles could be used to generate starting networks with reasonable social structure, but further steps would be required to refine the structural properties.

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Publication Details

Journal
Applied Network Science
Published
2025-12-04
DOI
https://doi.org/10.1007/s41109-025-00744-5
Primary Topic
Complex Network Analysis Techniques
Type
article
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article

Tunable network properties with Hamill and Gilbert’s Social Circles generator

Jennifer Badham, Cristina Chueca Del Cerro
Applied Network Science
Complex Network Analysis Techniques
article

Tunable network properties with Hamill and Gilbert’s Social Circles generator

Jennifer Badham, Cristina Chueca Del Cerro
article en

Abstract

Hamill and Gilbert (J Artif Soc Soc Simul 12, 1-23, 2009) developed the Social Circles algorithm to generate synthetic networks that have properties of real social networks such as skewed degree distribution, positive clustering coefficient, degree assortativity and short path lengths. To assess the viability of Social Circles as a general network generator, we systematically examine the relationship between algorithm parameters and a broader range of structural properties of the generated networks. We varied social reaches for agents, distribution of social reaches in the population, and node density. We find that edge density and centrality measures can be controlled in a predictable way: longer reaches are associated with denser networks, shorter paths, lower degree assortativity (with some exceptions), and smaller variation in centrality measures. However, these network properties changed together and there is limited capacity to control properties separately. Further, clustering coefficient is insensitive to algorithm inputs. Thus, it cannot be used as a general network generator as it stands. If these properties are important, Social Circles could be used to generate starting networks with reasonable social structure, but further steps would be required to refine the structural properties.

Applied Network ScienceVol. 10(1)
Durham University (GB)
Openalex Percentile: Top 69%
Complex Network Analysis Techniques
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Tunable network properties with Hamill and Gilbert’s Social Circles generator — Jennifer Badham, Cristina Chueca Del Cerro · Applied Network Science (2025) | TGRS Research Map | TGRS