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All of these properties are influenced by the network structure and do not consider a node\u2019s features. To overcome this, two novel centrality metrics, termed inflow and outflow centrality, were introduced here. The metrics were derived from the aggregation approach used in graph convolutional networks, which allow for direct incorporation of node features with graph structure. The metrics were contrasted against the unweighted betweenness centrality and four node-weighted centrality metrics, weighted-degree, weighted-closeness, personalized PageRank, and alpha centrality, for an airport, an airplane trade, and a protein-protein interaction network. 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