Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Community Detection Problem Based on Polarization Measures. An application to Twitter: the COVID-19 case in Spain

Inmaculada Gutiérrez García-Pardo
* ORCID logo ,
Juan Antonio Guevara Gil
ORCID logo ,
Daniel Gómez González
,
Javier Castro Cantalejo
,
Rosa Espínola Vílchez
Version 1 : Received: 2 January 2021 / Approved: 5 January 2021 / Online: 5 January 2021 (11:18:08 CET)

A peer-reviewed article of this Preprint also exists.

Gutiérrez, I.; Guevara, J.A.; Gómez, D.; Castro, J.; Espínola, R. Community Detection Problem Based on Polarization Measures: An Application to Twitter: The COVID-19 Case in Spain. Mathematics 2021, 9, 443. Gutiérrez, I.; Guevara, J.A.; Gómez, D.; Castro, J.; Espínola, R. Community Detection Problem Based on Polarization Measures: An Application to Twitter: The COVID-19 Case in Spain. Mathematics 2021, 9, 443.

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 possibility 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 probably 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 JDJpol 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

Subject

Computer Science and Mathematics, Applied Mathematics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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