2017
DOI: 10.1109/access.2017.2672666
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Transitivity Demolition and the Fall of Social Networks

Abstract: In this paper, we study crucial elements of a complex network, namely its nodes and connections, which play a key role in maintaining the network's structure and function under unexpected structural perturbations of nodes and edges removal. Specifically, we want to identify vital nodes and edges whose failure (either random or intentional) will break the most number of connected triples (or triangles) in the network. This problem is extremely important because connected triples form the foundation of strong co… Show more

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Cited by 10 publications
(4 citation statements)
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References 51 publications
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“…Looking at recent studies, Nguyen et al [48] investigate the vulnerability of social networks using network theory. Critical nodes and edges are identified by computing the number of connected triples (or triangles) that are broken, when a failure (either random or intentional) occurs, causing changes in the network's organization and leading to the unpredictable dissolving of the network.…”
Section: Operation Research and Managementmentioning
confidence: 99%
“…Looking at recent studies, Nguyen et al [48] investigate the vulnerability of social networks using network theory. Critical nodes and edges are identified by computing the number of connected triples (or triangles) that are broken, when a failure (either random or intentional) occurs, causing changes in the network's organization and leading to the unpredictable dissolving of the network.…”
Section: Operation Research and Managementmentioning
confidence: 99%
“…These approaches are restricted to the scope of online social networks and do not cater to general network structures. Another work by Nguyen et al [24] explored the number of connected triplets in a network as they capture the strong connection of communities in social networks.…”
Section: Related Workmentioning
confidence: 99%
“…However, when applied to distribution networks with high penetration of distributed power sources, its robustness is low. Nguyen et al [19] used a time recurrent graph neural network (TR-GNN) to extract spatiotemporal features from voltage measurement unit data, performing fault-type classification, line selection, and fault localization in distribution networks. However, the model's input features are relatively singular, only extracting spatiotemporal features from voltage measurement unit data, without comparing the results of using current measurement data as fault detection features.…”
Section: Introductionmentioning
confidence: 99%