000095062 001__ 95062 000095062 005__ 20210902121751.0 000095062 0247_ $$2doi$$a10.1137/19M1287663 000095062 0248_ $$2sideral$$a118722 000095062 037__ $$aART-2020-118722 000095062 041__ $$aeng 000095062 100__ $$aGambuzza, Lucía V. 000095062 245__ $$aHubs-attracting laplacian and related synchronization on networks 000095062 260__ $$c2020 000095062 5060_ $$aAccess copy available to the general public$$fUnrestricted 000095062 5203_ $$aIn 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. 000095062 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000095062 590__ $$a2.316$$b2020 000095062 591__ $$aPHYSICS, MATHEMATICAL$$b12 / 55 = 0.218$$c2020$$dQ1$$eT1 000095062 591__ $$aMATHEMATICS, APPLIED$$b53 / 265 = 0.2$$c2020$$dQ1$$eT1 000095062 592__ $$a1.218$$b2020 000095062 593__ $$aModeling and Simulation$$c2020$$dQ1 000095062 593__ $$aAnalysis$$c2020$$dQ1 000095062 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000095062 700__ $$aFrasca, Mattia 000095062 700__ $$0(orcid)0000-0002-3066-7418$$aEstrada, Ernesto 000095062 773__ $$g19, 2 (2020), 1057-1079$$pSIAM J. Appl. Dyn. Syst.$$tSIAM Journal on Applied Dynamical Systems$$x1536-0040 000095062 8564_ $$s2773795$$uhttps://zaguan.unizar.es/record/95062/files/texto_completo.pdf$$yVersión publicada 000095062 8564_ $$s455916$$uhttps://zaguan.unizar.es/record/95062/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000095062 909CO $$ooai:zaguan.unizar.es:95062$$particulos$$pdriver 000095062 951__ $$a2021-09-02-09:49:23 000095062 980__ $$aARTICLE