95062 20210902121751.0 doi 10.1137/19M1287663 sideral 118722 ART-2020-118722 eng Gambuzza, Lucía V. Hubs-attracting laplacian and related synchronization on networks 2020 Access copy available to the general public Unrestricted In this work, we introduce a new Laplacian matrix, referred to as the hubs-attracting Laplacian, accounting for diffusion processes on networks where the hopping of a particle occurs with higher probability from low to high degree nodes. This notion complements the one of the hubs-repelling Laplacian discussed in [E. Estrada, Linear Algebra Appl., 596 (2020), pp. 256-280], that considers the opposite scenario, with higher hopping probabilities from high to low degree nodes. We formulate a model of oscillators coupled through the new Laplacian and study the synchronizability of the network through the analysis of the spectrum of the Laplacian. We discuss analytical results providing bounds for the quantities of interest for synchronization and computational results showing that the hubs-attracting Laplacian generally has better synchronizability properties when compared to the classical one, with a low occurrence rate for the graphs where this is not true. Finally, two illustrative case studies of synchronization through the hubs-attracting Laplacian are considered. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.316 2020 PHYSICS, MATHEMATICAL 12 / 55 = 0.218 2020 Q1 T1 MATHEMATICS, APPLIED 53 / 265 = 0.2 2020 Q1 T1 1.218 2020 Modeling and Simulation 2020 Q1 Analysis 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Frasca, Mattia (orcid)0000-0002-3066-7418 Estrada, Ernesto 19, 2 (2020), 1057-1079 SIAM J. Appl. Dyn. Syst. SIAM Journal on Applied Dynamical Systems 1536-0040 2773795 http://zaguan.unizar.es/record/95062/files/texto_completo.pdf Versión publicada 455916 http://zaguan.unizar.es/record/95062/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:95062 articulos driver 2021-09-02-09:49:23 ARTICLE