95581 20210902121745.0 doi 10.1137/19M1302041 sideral 119787 ART-2020-119787 eng Bartesaghi, P. Risk-dependent centrality in economic and financial networks 2020 Access copy available to the general public Unrestricted Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance""produced not only by the variation of the topology of the system but also as a consequence of the external levels of risk to which the network as a whole is subjected. Starting from the "Susceptible-Infected""(SI) model of epidemics and its relation to the communicability functions of networks, we develop a series of risk-dependent centralities for nodes in (financial and economic) networks. We analyze here some of the most important mathematical properties of these risk-dependent centrality measures. In particular, we study the newly observed phenomenon of ranking interlacement, by means of which two entities may interlace their ranking positions in terms of risk in the network as a consequence of the change in the external conditions only, i.e., without any change in the topology. We test the risk-dependent centralities by studying two realworld systems: The network generated by collecting assets of the S\&P 100 and the corporate board network of the U.S.Top companies, according to Forbes in 1999. We found that a high position in the ranking of the analyzed financial companies according to their risk-dependent centrality corresponds to companies more sensitive to the external market variations during the periods of crisis. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.877 2020 BUSINESS, FINANCE 69 / 108 = 0.639 2020 Q3 T2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 62 / 108 = 0.574 2020 Q3 T2 SOCIAL SCIENCES, MATHEMATICAL METHODS 31 / 52 = 0.596 2020 Q3 T2 1.25 2020 Applied Mathematics 2020 Q1 Numerical Analysis 2020 Q1 Finance 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Benzi, M. Clemente, G.P. Grassi, R. Estrada, Ernesto (orcid)0000-0002-3066-7418 11, 2 (2020), 526-565 SIAM j. financial math. SIAM Journal on Financial Mathematics 1945-497X 8231534 http://zaguan.unizar.es/record/95581/files/texto_completo.pdf Versión publicada 451899 http://zaguan.unizar.es/record/95581/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:95581 articulos driver 2021-09-02-09:45:41 ARTICLE