Community Detection Problem Based on Polarization Measures: An Application to Twitter: The COVID-19 Case in Spain

Inmaculada Gutiérrez, Juan Antonio Guevara, Daniel Gómez, Javier Castro and Rosa Espínola
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Inmaculada Gutiérrez: Faculty of Statistics, Complutense University Puerta de Hierro, 28040 Madrid, Spain
Juan Antonio Guevara: Faculty of Statistics, Complutense University Puerta de Hierro, 28040 Madrid, Spain
Daniel Gómez: Faculty of Statistics, Complutense University Puerta de Hierro, 28040 Madrid, Spain
Javier Castro: Faculty of Statistics, Complutense University Puerta de Hierro, 28040 Madrid, Spain
Rosa Espínola: Faculty of Statistics, Complutense University Puerta de Hierro, 28040 Madrid, Spain

Mathematics, 2021, vol. 9, issue 4, 1-27

Abstract: In this paper, we address one of the most important topics in the field of Social Networks Analysis: the community detection problem with additional information. That additional information is modeled by a fuzzy measure that represents the risk of polarization. Particularly, we are interested in dealing with the problem of taking into account the polarization of nodes in the community detection problem. Adding this type of information to the community detection problem makes it more realistic, as a community is more likely to be defined if the corresponding elements are willing to maintain a peaceful dialogue. The polarization capacity is modeled by a fuzzy measure based on the J D J p o l measure of polarization related to two poles. We also present an efficient algorithm for finding groups whose elements are no polarized. Hereafter, we work in a real case. It is a network obtained from Twitter, concerning the political position against the Spanish government taken by several influential users. We analyze how the partitions obtained change when some additional information related to how polarized that society is, is added to the problem.

Keywords: networks; community detection; extended fuzzy graphs; polarization; fuzzy sets; ordinal variation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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