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An empirical characterization of community structures in complex networks using a bivariate map of quality metrics

Vinh-Loc Dao Cécile Bothorel 1, 2 Philippe Lenca 1, 2
2 Lab-STICC_DECIDE - Equipe DECIDE
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance : UMR6285
Abstract : Community detection emerges as an important task in the discovery of network mesoscopic structures. However, the concept of a “good” community is very context-dependent, and it is relatively complicated to deduce community characteristics using available community detection techniques. In reality, the existence of a gap between structural goodness quality metrics and expected topological patterns creates a confusion in evaluating community structures. We thus introduce an empirical multivariate analysis of different structural goodness properties in order to characterize several detectable community topologies. Specifically, we show that a combination of two representative structural dimensions including community transitivity and hub dominance allows to distinguish different topologies such as star-based, clique-based, string-based and grid-based structures. Additionally, these classes of topology disclose structural proximities with those of graphs created by Erdős–Rényi, Watts–Strogatz and Barabási–Albert generative models. We illustrate popular community topologies identified by different detection methods on a large dataset composing many network categories and associate their structures with the most related graph generative model. Interestingly, this conjunctive representation sheds light on fundamental differences between mesoscopic structures in various network categories including communication, information, biological, technological, social, ecological, synthetic networks and more.
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https://hal-imt-atlantique.archives-ouvertes.fr/hal-01809064
Contributor : Cécile Bothorel <>
Submitted on : Wednesday, April 14, 2021 - 2:56:22 PM
Last modification on : Monday, August 2, 2021 - 3:43:25 PM
Long-term archiving on: : Thursday, July 15, 2021 - 6:58:47 PM

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Vinh-Loc Dao, Cécile Bothorel, Philippe Lenca. An empirical characterization of community structures in complex networks using a bivariate map of quality metrics. Social Network Analysis and Mining, Springer, 2021, 11 (1), pp.37. ⟨10.1007/s13278-021-00743-1⟩. ⟨hal-01809064⟩

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