New centrality indices Bundle and Pivotal, were introduced to identify key vertices taking into account parameters of vertices and an influence of vertices to a vertex. However, the Bundle and Pivotal indices are constructed in that way that they do not take into account directly the weights of arcs – important information about interaction among vertices in a network. We have constructed several new centrality indices that take into account this information as well. New centrality indices have been tested on real networks models (rare earth compound export/import operations) and compared with the Bundle and Pivotal values.
