Most current studies estimate the invulnerability of complex networks using a qualitative
method that analyzes the decay rate of network performance. This method results in …

Network robustness is an essential system property to sustain functionality in the face of
failures or targeted attacks. Currently, only the connectivity of the nodes resilient to an attack …

Robustness is one of the key properties in complex networks to ensure the expected level of
performance and service availability in case of perturbations and failures. Network …

Intentional attacks usually cause greater damage than random failures to complex networks,
so it is important to study the networks' resilience to attacks. Although various entropy …

Complex networks in reality may suffer from target attacks which can trigger the breakdown
of the entire network. It is therefore pivotal to evaluate the extent to which a network could …

Recently, the study of optimizing network robustness has attracted increasing attentions, and
the constraint that every node's degree cannot be changed is considered. Although this …

This study builds conceptual explanations and empirical examinations of the vulnerability
response of networks under attack. Two quantities of “vulnerability” and “uncertainty in …

Critical infrastructures are repeatedly attacked by external triggers causing tremendous
amount of damages. Any infrastructure can be studied using the powerful theory of complex …

In a recent work, Schneider et al.(2011) proposed a new measure R for network robustness,
where the value of R is calculated within the entire process of malicious node attacks. In this …

Network robustness is a core problem in network researches, it has achieved many good
results by now. However, the network robustness against cascading failures under various …