Testing structural balance theories in heterogeneous signed networks

The abundance of data about social relationships allows the human behavior to be analyzed as any other natural phenomenon. Here we focus on balance theory, stating that social actors tend to avoid establishing cycles with an odd number of negative links. This statement, however, can be supported onl...

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Main Authors: Gallo, A, Garlaschelli, D, Lambiotte, R, Saracco, F, Squartini, T
Format: Journal article
Language:English
Published: Springer Nature 2024
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author Gallo, A
Garlaschelli, D
Lambiotte, R
Saracco, F
Squartini, T
author_facet Gallo, A
Garlaschelli, D
Lambiotte, R
Saracco, F
Squartini, T
author_sort Gallo, A
collection OXFORD
description The abundance of data about social relationships allows the human behavior to be analyzed as any other natural phenomenon. Here we focus on balance theory, stating that social actors tend to avoid establishing cycles with an odd number of negative links. This statement, however, can be supported only after a comparison with a benchmark. Since the existing ones disregard actors’ heterogeneity, we extend Exponential Random Graphs to signed networks with both global and local constraints and employ them to assess the significance of empirical unbalanced patterns. We find that the nature of balance crucially depends on the null model: while homogeneous benchmarks favor the weak balance theory, according to which only triangles with one negative link should be under-represented, heterogeneous benchmarks favor the strong balance theory, according to which also triangles with all negative links should be under-represented. Biological networks, instead, display strong frustration under any benchmark, confirming that structural balance inherently characterizes social networks.
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spelling oxford-uuid:13eb8c10-788c-41d8-978b-0adef318aea22024-05-28T11:10:49ZTesting structural balance theories in heterogeneous signed networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:13eb8c10-788c-41d8-978b-0adef318aea2EnglishSymplectic ElementsSpringer Nature2024Gallo, AGarlaschelli, DLambiotte, RSaracco, FSquartini, TThe abundance of data about social relationships allows the human behavior to be analyzed as any other natural phenomenon. Here we focus on balance theory, stating that social actors tend to avoid establishing cycles with an odd number of negative links. This statement, however, can be supported only after a comparison with a benchmark. Since the existing ones disregard actors’ heterogeneity, we extend Exponential Random Graphs to signed networks with both global and local constraints and employ them to assess the significance of empirical unbalanced patterns. We find that the nature of balance crucially depends on the null model: while homogeneous benchmarks favor the weak balance theory, according to which only triangles with one negative link should be under-represented, heterogeneous benchmarks favor the strong balance theory, according to which also triangles with all negative links should be under-represented. Biological networks, instead, display strong frustration under any benchmark, confirming that structural balance inherently characterizes social networks.
spellingShingle Gallo, A
Garlaschelli, D
Lambiotte, R
Saracco, F
Squartini, T
Testing structural balance theories in heterogeneous signed networks
title Testing structural balance theories in heterogeneous signed networks
title_full Testing structural balance theories in heterogeneous signed networks
title_fullStr Testing structural balance theories in heterogeneous signed networks
title_full_unstemmed Testing structural balance theories in heterogeneous signed networks
title_short Testing structural balance theories in heterogeneous signed networks
title_sort testing structural balance theories in heterogeneous signed networks
work_keys_str_mv AT galloa testingstructuralbalancetheoriesinheterogeneoussignednetworks
AT garlaschellid testingstructuralbalancetheoriesinheterogeneoussignednetworks
AT lambiotter testingstructuralbalancetheoriesinheterogeneoussignednetworks
AT saraccof testingstructuralbalancetheoriesinheterogeneoussignednetworks
AT squartinit testingstructuralbalancetheoriesinheterogeneoussignednetworks