RT Journal Article T1 Effective centrality and explosive synchronization in complex networks A1 Navas, Adrián A1 Villacorta Atienza, José Antonio A1 Leyva, Irene A1 Almendral, Juán A1 Sendiña Nadal, Irene A1 Boccaletti, Stephano AB Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph’s units and the microscopic arrangement of the network’s structure. We here propose an effective network whose topological properties reflect the interplay between the topology and dynamics of the original network. On that basis, we are able to introduce the effective centrality, a measure that quantifies the role and importance of each network’s node in the synchronization process. In particular, in the context of explosive synchronization, we use such a measure to assess the propensity of a graph to sustain an irreversible transition to synchronization. We furthermore discuss a strategy to induce the explosive behavior in a generic network, by acting only upon a fraction of its nodes. PB American Physical Society SN 2470-0045 YR 2015 FD 2015 LK https://hdl.handle.net/20.500.14352/96316 UL https://hdl.handle.net/20.500.14352/96316 LA eng NO Navas, A., et al. «Effective Centrality and Explosive Synchronization in Complex Networks». Physical Review E, vol. 92, n.o 6, diciembre de 2015, p. 062820. https://doi.org/10.1103/PhysRevE.92.062820. NO Ministerio de Economía y Competitividad (España) NO INCE Foundation NO Banco de Santander DS Docta Complutense RD 12 abr 2025