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15 p, 876.8 KB Tuning the overlap and the cross-layer correlations in two-layer networks : application to an SIR model with awareness dissemination / Juher, David (Universitat de Girona. Departament d’Informàtica, Matemàtica Aplicada i Estadística) ; Saldaña, Joan (Universitat de Girona. Departament d’Informàtica, Matemàtica Aplicada i Estadística)
We study the properties of the potential overlap between two networks A,B sharing the same set of N nodes (a two-layer network) whose respective degree distributions p_A(k), p_B(k) are given. Defining the overlap coefficient as the Jaccard index, we prove that is very close to 0 when A and B are random and independently generated. [...]
2018 - 10.1103/PhysRevE.97.032303
Physical review E, Vol. 97, issue 3 (March 2018) , art. 32303  

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