Title
Vulnerability And Power On Networks
Abstract
Inspired by socio-political scenarios, like dictatorships, in which a minority of people exercise control over a majority of weakly interconnected individuals, we propose vulnerability and power measures defined on groups of actors of networks. We establish an unexpected connection between network vulnerability and graph regularizability. We use the Shapley value of coalition games to introduce fresh notions of vulnerability and power at node level defined in terms of the corresponding measures at group level. We investigate the computational complexity of computing the defined measures, both at group and node levels, and provide effective methods to quantify them. Finally we test vulnerability and power on both artificial and real networks.
Year
DOI
Venue
2013
10.1017/nws.2015.8
NETWORK SCIENCE
Keywords
Field
DocType
centrality measures, robustness, regularizable graphs, 2-vertex cover, 2-matching, integer linear programming, coalitional games, Shapley value
Graph,Mathematical optimization,Shapley value,Robustness (computer science),Integer programming,Artificial intelligence,Mathematics,Machine learning,Computational complexity theory,Vulnerability
Journal
Volume
Issue
ISSN
3
2
2050-1242
Citations 
PageRank 
References 
2
0.42
6
Authors
3
Name
Order
Citations
PageRank
Enrico Bozzo1518.79
Massimo Franceschet265839.91
Franca Rinaldi39914.05