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Vulnerabilities of complex networks have became a trend topic in complexsystems recently due to its real world applications. Most real networks tend tobe very fragile to high betweenness adaptive attacks. However, recentcontributions have shown the importance of interconnected nodes in theintegrity of networks and module-based attacks have appeared promising whencompared to traditional malicious non-adaptive attacks. In the present work wedeeply explore the trade-off associated with attack procedures, introducing ageneralized robustness measure and presenting an attack performance index thattakes into account both robustness of the network against the attack and therun-time needed to obtained the list of targeted nodes for the attack. Besides,we introduce the concept of deactivation point aimed to mark the point at whichthe network stops to function properly. We then show empirically thatnon-adaptive module-based attacks perform better than high degree andbetweenness adaptive attacks in networks with well defined community structuresand consequent high modularity.

Performance of attack strategies on modular networks