LAUSR

New betweenness centralities of nodes in a directed network are proposed based on the idea that nodes in a network are processes rather than things. They are called input and output betweenness centralities. They measure importance of nodes as input and output for gluing arcs together as interface between processes, respectively. We demonstrate their use and discuss their meaning by calculating them in two toy directed networks and one real-world network. We also compare them with the existing centrality measures that reflect asymmetry of links in directed networks: out- and in-degrees and Hub and Authority scores. We found that input and output betweenness centralities behave differently from these measures in some nodes. It is suggested that they can effectively identify nodes that are less important in terms of existing measures but are noteworthy from the viewpoint that nodes are processes.