PageRank for Edges: Axiomatic Characterization

Edge centrality measures are functions that evaluate the importance of edges in a network. They can be used to assess role backlink for popularity website as well flight virus spreading. Various node centralities have been translated apply edges, including Betweenness, Eigenedge (edge version eigenvector centrality), and PageRank. With this paper, we initiate discussion on axiomatic properties edge measures. We do it by proposing an characterization Our is first any literature.