Journal
NEW JOURNAL OF PHYSICS
Volume 14, Issue -, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1367-2630/14/8/083030
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Funding
- European EPIWORK project
- European LINC project
- Israel Science Foundation
- Office of Naval Research (ONR)
- Deutsche Forschungsgemeinschaft (DFG)
- Defense Threat Reduction Agency (DTRA)
- Swiss National Science Foundation [100014 126865]
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We present a generalized method for calculating the k-shell structure of weighted networks. The method takes into account both the weight and the degree of a network, in such a way that in the absence of weights we resume the shell structure obtained by the classic k-shell decomposition. In the presence of weights, we show that the method is able to partition the network in a more refined way, without the need of any arbitrary threshold on the weight values. Furthermore, by simulating spreading processes using the susceptible-infectious-recovered model in four different weighted real-world networks, we show that the weighted k-shell decomposition method ranks the nodes more accurately, by placing nodes with higher spreading potential into shells closer to the core. In addition, we demonstrate our new method on a real economic network and show that the core calculated using the weighted k-shell method is more meaningful from an economic perspective when compared with the unweighted one.
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