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* Corresponding author 1 Indian Institute of Technology Kharagpur 2 ISC-PIF - Institut des Systèmes Complexes - Paris Ile-de-France 3 SPEC - UMR3680 - Service de physique de l-état condensé

Abstract : After a failure or attack the structure of a complex network changes due to node removal. Here, we show that the degree distribution of the distorted network, under any node disturbances, can be easily computed through a simple formula. Based on this expression, we derive a general condition for the stability of noncorrelated finite complex networks under any arbitrary attack. We apply this formalism to derive an expression for the percolation threshold fc under a general attack of the form fk∼kγ, where fk stands for the probability of a node of degree k of being removed during the attack. We show that fc of a finite network of size N exhibits an additive correction which scales as N−1 with respect to the classical result for infinite networks.

Autor: Bivas Mitra - Niloy Ganguly - Sujoy Ghose - Fernando Peruani -



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