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oai:docta.ucm.es:20.500.14352/730682024-11-06T00:55:13Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense author Lopez, Susana author Molina Ferragut, Elisenda author Saboyá, Martha author Tejada Cazorla, Juan Antonio 2023-06-22T12:42:07Z 2023-06-22T12:42:07Z 2023 López S, Molina E, Saboyá M, Tejada J. Node centrality based on its edges importance: The Position centrality. Mathematical Social Sciences 2024;132:90–104. https://doi.org/10.1016/j.mathsocsci.2024.10.001. https://hdl.handle.net/20.500.14352/73068 We propose a novel family of node centralities in social networks, named family of position centralities, which explicitly takes into account the importance of the links to assess the centrality of the nodes that support them through the Position value (Meessen, 1988). Our proposal shares with the family of Myerson centralities (Gómez et al., 2003) that it is a game-theoretic family of measures that allows to consider the functionality of the network modelled by a symmetric cooperative game. We prove that, like the Myerson centrality measures, every Position centrality measure also satisfies essential properties expected of a centrality measure. We analyse in detail the main differences between the Myerson and the position families of centrality measures. Specifically, we study the differences regarding the connection structures that share dividends and the fairness and stability properties. Along this analysis we consider the case of hub-and-spoke clusters, a prevalent model for studying transportation networks. Finally, a characterisation of the Position Attachment centrality is given, which is the Position centrality obtained when the functionality of the network is modelled by the attachment game. Some comparisons are made with the Attachment centrality introduced by Skibski et al. (2019), which is the analogue member of the family of Myerson centralities. eng Atribución-NoComercial-SinDerivadas 3.0 España Node centrality based on its edges importance: The Position centrality journal article URL https://docta.ucm.es/bitstreams/5e8f3f33-28c5-4b73-a1e6-70f2e06fe2bf/download File MD5 5fef09c7f9aa96ef0d84a50742ee9b4f 2171209 application/pdf Node centrality.pdf