eprintid: 1239 rev_number: 10 eprint_status: archive userid: 6 dir: disk0/00/00/12/39 datestamp: 2012-03-26 07:46:36 lastmod: 2016-04-07 09:48:48 status_changed: 2012-03-26 07:46:36 type: article metadata_visibility: show creators_name: D'Agostino, Gregorio creators_name: Scala, Antonio creators_name: Zlatic, Vinko creators_name: Caldarelli, Guido creators_id: creators_id: creators_id: creators_id: guido.caldarelli@imtlucca.it title: Robustness and assortativity for diffusion-like processes in scale-free networks ispublished: pub subjects: GE subjects: QC divisions: EIC full_text_status: public keywords: PACS: 87.23.Ge Dynamics of social systems; 89.75.Hc Networks and genealogical trees; 05.70.Ln Nonequilibrium and irreversible thermodynamics abstract: By analysing the diffusive dynamics of epidemics and of distress in complex networks, we study the effect of the assortativity on the robustness of the networks. We first determine by spectral analysis the thresholds above which epidemics/failures can spread; we then calculate the slowest diffusional times. Our results shows that disassortative networks exhibit a higher epidemiological threshold and are therefore easier to immunize, while in assortative networks there is a longer time for intervention before epidemic/failure spreads. Moreover, we study by computer simulations the sandpile cascade model, a diffusive model of distress propagation (financial contagion). We show that, while assortative networks are more prone to the propagation of epidemic/failures, degree-targeted immunization policies increases their resilience to systemic risk. date: 2012-03 date_type: published publication: EPL (Europhysics Letters) volume: 97 number: 6 publisher: IOPscience pagerange: 68006 id_number: 10.1209/0295-5075/97/68006 refereed: TRUE issn: 0295-5075 official_url: http://dx.doi.org/10.1209/0295-5075/97/68006 related_url_url: http://arxiv.org/abs/1105.3574 projects: EC FET Open Project “FOC” Nr. 255987 citation: D'Agostino, Gregorio and Scala, Antonio and Zlatic, Vinko and Caldarelli, Guido Robustness and assortativity for diffusion-like processes in scale-free networks. EPL (Europhysics Letters), 97 (6). p. 68006. ISSN 0295-5075 (2012) document_url: http://eprints.imtlucca.it/1239/1/epl_97_6_68006.pdf