We consider networks in which random walkers are removed because of the failure of specific nodes. We interpret the rate of loss as a measure of the importance of nodes, a notion we denote as failure centrality. We show that the degree of the node is not sufficient to determine this measure and that, in a first approximation, the shortest loops through the node have to be taken into account. We propose approximations of the failure centrality which are valid for temporal-varying failures, and we dwell on the possibility of externally changing the relative importance of nodes in a given network by exploiting the interference between the loops of a node and the cycles of the temporal pattern of failures. In the limit of long failure cycles we show analytically that the escape in a node is larger than the one estimated from a stochastic failure with the same failure probability. We test our general formalism in two real-world networks (air-transportation and e-mail users) and show how communities lead to deviations from predictions for failures in hubs.
Knight, G., Cristadoro, G., & Altmann, E. (2015). Temporal-varying failures of nodes in networks. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 92(2), 1-6 [10.1103/PhysRevE.92.022810].
|Citazione:||Knight, G., Cristadoro, G., & Altmann, E. (2015). Temporal-varying failures of nodes in networks. PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 92(2), 1-6 [10.1103/PhysRevE.92.022810].|
|Tipo:||Articolo in rivista - Articolo scientifico|
|Carattere della pubblicazione:||Scientifica|
|Presenza di un coautore afferente ad Istituzioni straniere:||Si|
|Titolo:||Temporal-varying failures of nodes in networks|
|Autori:||Knight, G; Cristadoro, G; Altmann, E|
|Data di pubblicazione:||2015|
|Rivista:||PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevE.92.022810|
|Appare nelle tipologie:||01 - Articolo su rivista|