%0 Journal Article %1 Garas2012K %A Garas, Antonios %A Schweitzer, Frank %A Havlin, Shlomo %D 2012 %J New Journal of Physics %K k-core weighted-networks %N 8 %P 083030+ %R 10.1088/1367-2630/14/8/083030 %T A k -shell decomposition method for weighted networks %U http://dx.doi.org/10.1088/1367-2630/14/8/083030 %V 14 %X 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 real weighted 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 economics perspective when compared to the unweighted method.

@article{Garas2012K, abstract = {{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 real weighted 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 economics perspective when compared to the unweighted method.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Garas, Antonios and Schweitzer, Frank and Havlin, Shlomo}, biburl = {https://www.bibsonomy.org/bibtex/2b0246563ce3e06e8c74c4dd92ca30628/nonancourt}, citeulike-article-id = {10677625}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/1367-2630/14/8/083030}, citeulike-linkout-1 = {http://arxiv.org/abs/1205.3720}, citeulike-linkout-2 = {http://arxiv.org/pdf/1205.3720}, day = 24, doi = {10.1088/1367-2630/14/8/083030}, eprint = {1205.3720}, interhash = {7f4448c01265001bc893e9dce4a9b099}, intrahash = {b0246563ce3e06e8c74c4dd92ca30628}, issn = {1367-2630}, journal = {New Journal of Physics}, keywords = {k-core weighted-networks}, month = aug, number = 8, pages = {083030+}, posted-at = {2012-05-17 09:48:54}, priority = {2}, timestamp = {2019-08-20T16:57:00.000+0200}, title = {{A k -shell decomposition method for weighted networks}}, url = {http://dx.doi.org/10.1088/1367-2630/14/8/083030}, volume = 14, year = 2012 }